7656913152 has 720 divisors, whose sum is σ = 28847871360. Its totient is φ = 1969422336.

The previous prime is 7656913097. The next prime is 7656913183. The reversal of 7656913152 is 2513196567.

7656913152 is a `hidden beast` number, since 7 + 6 + 569 + 1 + 31 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7656913098 and 7656913107.

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, 71559883 + ... + 71559989.

It is an arithmetic number, because the mean of its divisors is an integer number (40066488).

Almost surely, 2^7656913152 is an apocalyptic number.

7656913152 is a gapful number since it is divisible by the number (72) 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 7656913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423935680).

7656913152 is an abundant number, since it is smaller than the sum of its proper divisors (21190958208).

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

7656913152 is a wasteful number, since it uses less digits than its factorization.

7656913152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 7656913152 is about 87503.7893579472. The cubic root of 7656913152 is about 1970.9906937837.

The spelling of 7656913152 in words is "seven billion, six hundred fifty-six million, nine hundred thirteen thousand, one hundred fifty-two".