4387638678600 has 96 divisors (see below), whose sum is σ = 13624089073920. Its totient is φ = 1168109310720.

The previous prime is 4387638678581. The next prime is 4387638678623. The reversal of 4387638678600 is 68768367834.

4387638678600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5659467 + ... + 6387866.

It is an arithmetic number, because the mean of its divisors is an integer number (141917594520).

Almost surely, 2^{4387638678600} is an apocalyptic number.

4387638678600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4387638678600 is an abundant number, since it is smaller than the sum of its proper divisors (9236450395320).

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

4387638678600 is a wasteful number, since it uses less digits than its factorization.

4387638678600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12047959 (or 12047950 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 4387638678600 in words is "four trillion, three hundred eighty-seven billion, six hundred thirty-eight million, six hundred seventy-eight thousand, six hundred".