7640633856 has 160 divisors (see below), whose sum is σ = 22359997440. Its totient is φ = 2307723264.

The previous prime is 7640633839. The next prime is 7640633899. The reversal of 7640633856 is 6583360467.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665541 + ... + 676923.

It is an arithmetic number, because the mean of its divisors is an integer number (139749984).

Almost surely, 2^7640633856 is an apocalyptic number.

7640633856 is a gapful number since it is divisible by the number (76) 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 7640633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11179998720).

7640633856 is an abundant number, since it is smaller than the sum of its proper divisors (14719363584).

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

7640633856 is a wasteful number, since it uses less digits than its factorization.

7640633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11446 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 7640633856 is about 87410.7193426527. The cubic root of 7640633856 is about 1969.5928673283.

The spelling of 7640633856 in words is "seven billion, six hundred forty million, six hundred thirty-three thousand, eight hundred fifty-six".