7686686418400 has 144 divisors (see below), whose sum is σ = 21131400503808. Its totient is φ = 2704992192000.

The previous prime is 7686686418377. The next prime is 7686686418403. The reversal of 7686686418400 is 48146866867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686686418403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13815702 + ... + 14361301.

It is an arithmetic number, because the mean of its divisors is an integer number (146745836832).

Almost surely, 2^{7686686418400} is an apocalyptic number.

It is an amenable number.

7686686418400 is an abundant number, since it is smaller than the sum of its proper divisors (13444714085408).

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

7686686418400 is a wasteful number, since it uses less digits than its factorization.

7686686418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28177065 (or 28177052 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 7686686418400 in words is "seven trillion, six hundred eighty-six billion, six hundred eighty-six million, four hundred eighteen thousand, four hundred".