68639155200 has 1584 divisors, whose sum is σ = 316460566656. Its totient is φ = 13801881600.

The previous prime is 68639155181. The next prime is 68639155241. The reversal of 68639155200 is 255193686.

68639155200 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 91 + 552 + 0 + 0 = 666.

68639155200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×68639155200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 940262364 + ... + 940262436.

Almost surely, 2^68639155200 is an apocalyptic number.

68639155200 is a gapful number since it is divisible by the number (60) 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 68639155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158230283328).

68639155200 is an abundant number, since it is smaller than the sum of its proper divisors (247821411456).

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

68639155200 is a wasteful number, since it uses less digits than its factorization.

68639155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 68639155200 in words is "sixty-eight billion, six hundred thirty-nine million, one hundred fifty-five thousand, two hundred".