656680321800 has 384 divisors, whose sum is σ = 2384686656000. Its totient is φ = 165637612800.

The previous prime is 656680321777. The next prime is 656680321849. The reversal of 656680321800 is 8123086656.

656680321800 is a `hidden beast` number, since 6 + 566 + 8 + 0 + 3 + 2 + 1 + 80 + 0 = 666.

656680321800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 70071115 + ... + 70080485.

It is an arithmetic number, because the mean of its divisors is an integer number (6210121500).

Almost surely, 2^656680321800 is an apocalyptic number.

656680321800 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 656680321800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192343328000).

656680321800 is an abundant number, since it is smaller than the sum of its proper divisors (1728006334200).

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

656680321800 is a wasteful number, since it uses less digits than its factorization.

656680321800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10098 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 656680321800 in words is "six hundred fifty-six billion, six hundred eighty million, three hundred twenty-one thousand, eight hundred".