7697959040 has 128 divisors (see below), whose sum is σ = 19551196800. Its totient is φ = 2888286208.

The previous prime is 7697959019. The next prime is 7697959051. The reversal of 7697959040 is 409597967.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3774341 + ... + 3776379.

It is an arithmetic number, because the mean of its divisors is an integer number (152743725).

Almost surely, 2^7697959040 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 7697959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775598400).

7697959040 is an abundant number, since it is smaller than the sum of its proper divisors (11853237760).

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

7697959040 is a wasteful number, since it uses less digits than its factorization.

7697959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 56.

The square root of 7697959040 is about 87738.0136542878. The cubic root of 7697959040 is about 1974.5063373332.

The spelling of 7697959040 in words is "seven billion, six hundred ninety-seven million, nine hundred fifty-nine thousand, forty".