388679588640 has 768 divisors, whose sum is σ = 1589693091840. Its totient is φ = 87951412224.

The previous prime is 388679588597. The next prime is 388679588699. The reversal of 388679588640 is 46885976883.

388679588640 is a `hidden beast` number, since 38 + 8 + 6 + 7 + 9 + 588 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262089339 + ... + 262090821.

It is an arithmetic number, because the mean of its divisors is an integer number (2069912880).

Almost surely, 2^388679588640 is an apocalyptic number.

388679588640 is a gapful number since it is divisible by the number (30) 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 388679588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794846545920).

388679588640 is an abundant number, since it is smaller than the sum of its proper divisors (1201013503200).

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

388679588640 is a wasteful number, since it uses less digits than its factorization.

388679588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 388679588640 in words is "three hundred eighty-eight billion, six hundred seventy-nine million, five hundred eighty-eight thousand, six hundred forty".