6738483960 has 320 divisors, whose sum is σ = 24570453600. Its totient is φ = 1646521344.

The previous prime is 6738483959. The next prime is 6738483977. The reversal of 6738483960 is 693848376.

6738483960 is a `hidden beast` number, since 6 + 73 + 8 + 483 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6738483897 and 6738483906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6612331 + ... + 6613349.

Almost surely, 2^6738483960 is an apocalyptic number.

6738483960 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 6738483960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285226800).

6738483960 is an abundant number, since it is smaller than the sum of its proper divisors (17831969640).

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

6738483960 is a wasteful number, since it uses less digits than its factorization.

6738483960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6738483960 is about 82088.2693202872. The cubic root of 6738483960 is about 1888.8061999993.

The spelling of 6738483960 in words is "six billion, seven hundred thirty-eight million, four hundred eighty-three thousand, nine hundred sixty".