652407704256 has 336 divisors, whose sum is σ = 2241486276480. Its totient is φ = 165514567680.

The previous prime is 652407704219. The next prime is 652407704261.

652407704256 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4376680 + ... + 4523288.

Almost surely, 2^652407704256 is an apocalyptic number.

652407704256 is a gapful number since it is divisible by the number (66) 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 652407704256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120743138240).

652407704256 is an abundant number, since it is smaller than the sum of its proper divisors (1589078572224).

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

652407704256 is a wasteful number, since it uses less digits than its factorization.

652407704256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146692 (or 146675 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 652407704256 in words is "six hundred fifty-two billion, four hundred seven million, seven hundred four thousand, two hundred fifty-six".