681530572800 has 1620 divisors, whose sum is σ = 3107107444896. Its totient is φ = 141616742400.

The previous prime is 681530572799. The next prime is 681530572817. The reversal of 681530572800 is 8275035186.

681530572800 is a `hidden beast` number, since 68 + 1 + 5 + 305 + 7 + 280 + 0 = 666.

It is a super-2 number, since 2×681530572800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 61957324795 + ... + 61957324805.

Almost surely, 2^681530572800 is an apocalyptic number.

681530572800 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 681530572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553553722448).

681530572800 is an abundant number, since it is smaller than the sum of its proper divisors (2425576872096).

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

681530572800 is an frugal number, since it uses more digits than its factorization.

681530572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 681530572800 in words is "six hundred eighty-one billion, five hundred thirty million, five hundred seventy-two thousand, eight hundred".