641970252 has 384 divisors, whose sum is σ = 2322432000. Its totient is φ = 148055040.

The previous prime is 641970229. The next prime is 641970311. The reversal of 641970252 is 252079146.

641970252 is a `hidden beast` number, since 641 + 9 + 7 + 0 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2685949 + ... + 2686187.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^641970252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641970252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000).

641970252 is an abundant number, since it is smaller than the sum of its proper divisors (1680461748).

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

641970252 is a wasteful number, since it uses less digits than its factorization.

641970252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 641970252 is about 25337.1318818843. The cubic root of 641970252 is about 862.6572990990.

The spelling of 641970252 in words is "six hundred forty-one million, nine hundred seventy thousand, two hundred fifty-two".