68279336985600 has 1320 divisors, whose sum is σ = 281065474491648. Its totient is φ = 16264853913600.

The previous prime is 68279336985593. The next prime is 68279336985667. The reversal of 68279336985600 is 658963397286.

68279336985600 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 9 + 3 + 3 + 6 + 9 + 8 + 5 + 600 = 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 119 ways as a sum of consecutive naturals, for example, 835619947 + ... + 835701653.

Almost surely, 2^{68279336985600} is an apocalyptic number.

68279336985600 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 68279336985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140532737245824).

68279336985600 is an abundant number, since it is smaller than the sum of its proper divisors (212786137506048).

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

68279336985600 is a wasteful number, since it uses less digits than its factorization.

68279336985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81793 (or 81761 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 68279336985600 in words is "sixty-eight trillion, two hundred seventy-nine billion, three hundred thirty-six million, nine hundred eighty-five thousand, six hundred".