7656696000 has 672 divisors, whose sum is σ = 29979518400. Its totient is φ = 1857945600.

The previous prime is 7656695951. The next prime is 7656696001. The reversal of 7656696000 is 6966567.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7656696001) 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, 39671904 + ... + 39672096.

Almost surely, 2^7656696000 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 7656696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989759200).

7656696000 is an abundant number, since it is smaller than the sum of its proper divisors (22322822400).

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

7656696000 is a wasteful number, since it uses less digits than its factorization.

7656696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 7656696000 is about 87502.5485343141. The cubic root of 7656696000 is about 1970.9720610088.

The spelling of 7656696000 in words is "seven billion, six hundred fifty-six million, six hundred ninety-six thousand".