681558758400 has 1584 divisors, whose sum is σ = 2686174407168. Its totient is φ = 151289856000.

The previous prime is 681558758347. The next prime is 681558758401. The reversal of 681558758400 is 4857855186.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681558758401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11173094370 + ... + 11173094430.

Almost surely, 2^681558758400 is an apocalyptic number.

681558758400 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 681558758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343087203584).

681558758400 is an abundant number, since it is smaller than the sum of its proper divisors (2004615648768).

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

681558758400 is a wasteful number, since it uses less digits than its factorization.

681558758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 57.

The spelling of 681558758400 in words is "six hundred eighty-one billion, five hundred fifty-eight million, seven hundred fifty-eight thousand, four hundred".