68853996633600 has 360 divisors, whose sum is σ = 254358152423232. Its totient is φ = 17768772403200.

The previous prime is 68853996633563. The next prime is 68853996633607. The reversal of 68853996633600 is 633669935886.

68853996633600 is a `hidden beast` number, since 6 + 8 + 8 + 5 + 3 + 9 + 9 + 6 + 6 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68853996633607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6068977 + ... + 13211376.

Almost surely, 2^{68853996633600} is an apocalyptic number.

68853996633600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68853996633600 is an abundant number, since it is smaller than the sum of its proper divisors (185504155789632).

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

68853996633600 is a wasteful number, since it uses less digits than its factorization.

68853996633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19280418 (or 19280394 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 72.

The spelling of 68853996633600 in words is "sixty-eight trillion, eight hundred fifty-three billion, nine hundred ninety-six million, six hundred thirty-three thousand, six hundred".