8157756672 has 144 divisors (see below), whose sum is σ = 25979894080. Its totient is φ = 2510051328.

The previous prime is 8157756631. The next prime is 8157756701. The reversal of 8157756672 is 2766577518.

It is a happy number.

8157756672 is a `hidden beast` number, since 8 + 1 + 5 + 7 + 7 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44463 + ... + 135249.

Almost surely, 2^8157756672 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 8157756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12989947040).

8157756672 is an abundant number, since it is smaller than the sum of its proper divisors (17822137408).

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

8157756672 is a wasteful number, since it uses less digits than its factorization.

8157756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90825 (or 90805 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 8157756672 is about 90320.3004423701. The cubic root of 8157756672 is about 2013.0609099797.

The spelling of 8157756672 in words is "eight billion, one hundred fifty-seven million, seven hundred fifty-six thousand, six hundred seventy-two".