7657964160 has 768 divisors, whose sum is σ = 32584446720. Its totient is φ = 1492254720.

The previous prime is 7657964077. The next prime is 7657964161. The reversal of 7657964160 is 614697567.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7657964161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27645942 + ... + 27646218.

It is an arithmetic number, because the mean of its divisors is an integer number (42427665).

Almost surely, 2^7657964160 is an apocalyptic number.

7657964160 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 7657964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292223360).

7657964160 is an abundant number, since it is smaller than the sum of its proper divisors (24926482560).

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

7657964160 is a wasteful number, since it uses less digits than its factorization.

7657964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 7657964160 is about 87509.7946517988. The cubic root of 7657964160 is about 1971.0808707768.

The spelling of 7657964160 in words is "seven billion, six hundred fifty-seven million, nine hundred sixty-four thousand, one hundred sixty".