68892406228800 has 1008 divisors, whose sum is σ = 315127742152704. Its totient is φ = 13853514240000.

The previous prime is 68892406228787. The next prime is 68892406228801. The reversal of 68892406228800 is 882260429886.

68892406228800 is a `hidden beast` number, since 68 + 8 + 92 + 406 + 2 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68892406228801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33370665 + ... + 35374935.

Almost surely, 2^{68892406228800} is an apocalyptic number.

68892406228800 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 68892406228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157563871076352).

68892406228800 is an abundant number, since it is smaller than the sum of its proper divisors (246235335923904).

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

68892406228800 is a wasteful number, since it uses less digits than its factorization.

68892406228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004348 (or 2004330 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 68892406228800 in words is "sixty-eight trillion, eight hundred ninety-two billion, four hundred six million, two hundred twenty-eight thousand, eight hundred".