656430010790400 has 1440 divisors, whose sum is σ = 3023330344759296. Its totient is φ = 132000952320000.

The previous prime is 656430010790363. The next prime is 656430010790401. The reversal of 656430010790400 is 4097010034656.

656430010790400 is a `hidden beast` number, since 6 + 56 + 4 + 3 + 0 + 0 + 107 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (656430010790401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 273788815 + ... + 276175985.

Almost surely, 2^{656430010790400} is an apocalyptic number.

656430010790400 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 656430010790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511665172379648).

656430010790400 is an abundant number, since it is smaller than the sum of its proper divisors (2366900333968896).

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

656430010790400 is a wasteful number, since it uses less digits than its factorization.

656430010790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387254 (or 2387230 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 656430010790400 in words is "six hundred fifty-six trillion, four hundred thirty billion, ten million, seven hundred ninety thousand, four hundred".