7664976000 has 512 divisors, whose sum is σ = 30818361600. Its totient is φ = 1857024000.

The previous prime is 7664975947. The next prime is 7664976023. The reversal of 7664976000 is 6794667.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751194 + ... + 4752806.

Almost surely, 2^7664976000 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 7664976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409180800).

7664976000 is an abundant number, since it is smaller than the sum of its proper divisors (23153385600).

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

7664976000 is a wasteful number, since it uses less digits than its factorization.

7664976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7664976000 is about 87549.8486577790. The cubic root of 7664976000 is about 1971.6822789876.

The spelling of 7664976000 in words is "seven billion, six hundred sixty-four million, nine hundred seventy-six thousand".