68761132800 has 432 divisors, whose sum is σ = 234821407968. Its totient is φ = 17707827200.

The previous prime is 68761132711. The next prime is 68761132807. The reversal of 68761132800 is 823116786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68761132807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88953214 + ... + 88953986.

It is an arithmetic number, because the mean of its divisors is an integer number (543568074).

Almost surely, 2^68761132800 is an apocalyptic number.

68761132800 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 68761132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117410703984).

68761132800 is an abundant number, since it is smaller than the sum of its proper divisors (166060275168).

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

68761132800 is a wasteful number, since it uses less digits than its factorization.

68761132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 68761132800 in words is "sixty-eight billion, seven hundred sixty-one million, one hundred thirty-two thousand, eight hundred".