68739071385600 has 5376 divisors, whose sum is σ = 344020981248000. Its totient is φ = 13020482764800.

The previous prime is 68739071385599. The next prime is 68739071385623. The reversal of 68739071385600 is 658317093786.

68739071385600 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 9 + 0 + 7 + 13 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×68739071385600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 234604339054 + ... + 234604339346.

It is an arithmetic number, because the mean of its divisors is an integer number (63991998000).

Almost surely, 2^{68739071385600} is an apocalyptic number.

68739071385600 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 68739071385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172010490624000).

68739071385600 is an abundant number, since it is smaller than the sum of its proper divisors (275281909862400).

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

68739071385600 is a wasteful number, since it uses less digits than its factorization.

68739071385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 68739071385600 in words is "sixty-eight trillion, seven hundred thirty-nine billion, seventy-one million, three hundred eighty-five thousand, six hundred".