7640177664 has 352 divisors, whose sum is σ = 24507928576. Its totient is φ = 2070282240.

The previous prime is 7640177659. The next prime is 7640177681. The reversal of 7640177664 is 4667710467.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48663474 + ... + 48663630.

Almost surely, 2^7640177664 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 7640177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253964288).

7640177664 is an abundant number, since it is smaller than the sum of its proper divisors (16867750912).

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

7640177664 is a wasteful number, since it uses less digits than its factorization.

7640177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 7640177664 is about 87408.1098296949. The cubic root of 7640177664 is about 1969.5536676839.

The spelling of 7640177664 in words is "seven billion, six hundred forty million, one hundred seventy-seven thousand, six hundred sixty-four".