681679652400 has 90 divisors (see below), whose sum is σ = 2365617761780. Its totient is φ = 181781239680.

The previous prime is 681679652369. The next prime is 681679652431. The reversal of 681679652400 is 4256976186.

It is an interprime number because it is at equal distance from previous prime (681679652369) and next prime (681679652431).

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94674130 + ... + 94681329.

Almost surely, 2^681679652400 is an apocalyptic number.

681679652400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681679652400 is an abundant number, since it is smaller than the sum of its proper divisors (1683938109380).

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

681679652400 is a wasteful number, since it uses less digits than its factorization.

681679652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189355483 (or 189355469 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 681679652400 in words is "six hundred eighty-one billion, six hundred seventy-nine million, six hundred fifty-two thousand, four hundred".