7257074688 has 176 divisors, whose sum is σ = 21616320000. Its totient is φ = 2405044224.

The previous prime is 7257074683. The next prime is 7257074711. The reversal of 7257074688 is 8864707527.

It is a happy number.

7257074688 is a `hidden beast` number, since 7 + 2 + 570 + 7 + 4 + 68 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7257074683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5501293 + ... + 5502611.

It is an arithmetic number, because the mean of its divisors is an integer number (122820000).

Almost surely, 2^7257074688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7257074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808160000).

7257074688 is an abundant number, since it is smaller than the sum of its proper divisors (14359245312).

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

7257074688 is a wasteful number, since it uses less digits than its factorization.

7257074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 7257074688 is about 85188.4656981214. The cubic root of 7257074688 is about 1936.0676615016.

The spelling of 7257074688 in words is "seven billion, two hundred fifty-seven million, seventy-four thousand, six hundred eighty-eight".