6723924480 has 640 divisors, whose sum is σ = 29423116800. Its totient is φ = 1417347072.

The previous prime is 6723924479. The next prime is 6723924499. The reversal of 6723924480 is 844293276.

6723924480 is a `hidden beast` number, since 67 + 23 + 92 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6723924480² = 90422320825486540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289386 + ... + 6290454.

It is an arithmetic number, because the mean of its divisors is an integer number (45973620).

Almost surely, 2^6723924480 is an apocalyptic number.

6723924480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6723924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711558400).

6723924480 is an abundant number, since it is smaller than the sum of its proper divisors (22699192320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6723924480 is a wasteful number, since it uses less digits than its factorization.

6723924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6723924480 is about 81999.5395109021. The cubic root of 6723924480 is about 1887.4448717434. Note that the first 3 decimals are identical.

It can be divided in two parts, 67239 and 24480, that added together give a palindrome (91719).

The spelling of 6723924480 in words is "six billion, seven hundred twenty-three million, nine hundred twenty-four thousand, four hundred eighty".