656706226800 has 240 divisors, whose sum is σ = 2266202953728. Its totient is φ = 161598336000.

The previous prime is 656706226783. The next prime is 656706226801. The reversal of 656706226800 is 8622607656.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 656706226800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656706226801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73362325 + ... + 73371275.

Almost surely, 2^656706226800 is an apocalyptic number.

656706226800 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 656706226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133101476864).

656706226800 is an abundant number, since it is smaller than the sum of its proper divisors (1609496726928).

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

656706226800 is a wasteful number, since it uses less digits than its factorization.

656706226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13688 (or 13677 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 656706226800 in words is "six hundred fifty-six billion, seven hundred six million, two hundred twenty-six thousand, eight hundred".