681277132800 has 1872 divisors, whose sum is σ = 2928095089920. Its totient is φ = 155271168000.

The previous prime is 681277132759. The next prime is 681277132813. The reversal of 681277132800 is 8231772186.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5200588735 + ... + 5200588865.

It is an arithmetic number, because the mean of its divisors is an integer number (1564153360).

Almost surely, 2^681277132800 is an apocalyptic number.

681277132800 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 681277132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464047544960).

681277132800 is an abundant number, since it is smaller than the sum of its proper divisors (2246817957120).

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

681277132800 is a wasteful number, since it uses less digits than its factorization.

681277132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 681277132800 in words is "six hundred eighty-one billion, two hundred seventy-seven million, one hundred thirty-two thousand, eight hundred".