7268244480 has 1056 divisors, whose sum is σ = 31923374400. Its totient is φ = 1560674304.

The previous prime is 7268244479. The next prime is 7268244539. The reversal of 7268244480 is 844428627.

7268244480 is a `hidden beast` number, since 72 + 68 + 2 + 44 + 480 = 666.

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 95 ways as a sum of consecutive naturals, for example, 196439022 + ... + 196439058.

Almost surely, 2^7268244480 is an apocalyptic number.

7268244480 is a gapful number since it is divisible by the number (70) 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 7268244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15961687200).

7268244480 is an abundant number, since it is smaller than the sum of its proper divisors (24655129920).

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

7268244480 is a wasteful number, since it uses less digits than its factorization.

7268244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 7268244480 is about 85253.9997888662. Note that the first 3 decimals coincide. The cubic root of 7268244480 is about 1937.0604576566.

The spelling of 7268244480 in words is "seven billion, two hundred sixty-eight million, two hundred forty-four thousand, four hundred eighty".