7688056320 has 480 divisors, whose sum is σ = 30893683392. Its totient is φ = 1730543616.

The previous prime is 7688056297. The next prime is 7688056331. The reversal of 7688056320 is 236508867.

7688056320 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 0 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 11773114 + ... + 11773766.

Almost surely, 2^7688056320 is an apocalyptic number.

7688056320 is a gapful number since it is divisible by the number (70) 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 7688056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446841696).

7688056320 is an abundant number, since it is smaller than the sum of its proper divisors (23205627072).

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

7688056320 is a wasteful number, since it uses less digits than its factorization.

7688056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7688056320 is about 87681.5620298817. The cubic root of 7688056320 is about 1973.6593001005.

The spelling of 7688056320 in words is "seven billion, six hundred eighty-eight million, fifty-six thousand, three hundred twenty".