252624770640 has 960 divisors, whose sum is σ = 1038893506560. Its totient is φ = 54280765440.

The previous prime is 252624770633. The next prime is 252624770689. The reversal of 252624770640 is 46077426252.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162668104 + ... + 162669656.

It is an arithmetic number, because the mean of its divisors is an integer number (1082180736).

Almost surely, 2^252624770640 is an apocalyptic number.

252624770640 is a gapful number since it is divisible by the number (20) 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 252624770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519446753280).

252624770640 is an abundant number, since it is smaller than the sum of its proper divisors (786268735920).

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

252624770640 is a wasteful number, since it uses less digits than its factorization.

252624770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 252624770640 in words is "two hundred fifty-two billion, six hundred twenty-four million, seven hundred seventy thousand, six hundred forty".