7688507904 has 640 divisors, whose sum is σ = 29415260160. Its totient is φ = 1924300800.

The previous prime is 7688507867. The next prime is 7688507917. The reversal of 7688507904 is 4097058867.

7688507904 = T₈₀₀₇ + T₈₀₀₈ + ... + T₈₂₃₉.

It is a super-2 number, since 2×7688507904² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32997772 + ... + 32998004.

It is an arithmetic number, because the mean of its divisors is an integer number (45961344).

Almost surely, 2^7688507904 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 7688507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707630080).

7688507904 is an abundant number, since it is smaller than the sum of its proper divisors (21726752256).

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

7688507904 is a wasteful number, since it uses less digits than its factorization.

7688507904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7688507904 is about 87684.1371286734. The cubic root of 7688507904 is about 1973.6979425295.

The spelling of 7688507904 in words is "seven billion, six hundred eighty-eight million, five hundred seven thousand, nine hundred four".