641562552576 has 729 divisors, whose sum is σ = 2141880654459. Its totient is φ = 184544870400.

The previous prime is 641562552557. The next prime is 641562552599. The reversal of 641562552576 is 675255265146.

The square root of 641562552576 is 800976.

It is a perfect power (a square), and thus also a powerful number.

641562552576 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 62 + 5 + 5 + 2 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7589894400 + 633972658176 = 87120^2 + 796224^2 .

Its product of digits (15120000) is a multiple of the sum of its prime factors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15647867116 + ... + 15647867156.

Almost surely, 2^641562552576 is an apocalyptic number.

641562552576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

641562552576 is the 800976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641562552576

641562552576 is an abundant number, since it is smaller than the sum of its proper divisors (1500318101883).

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

641562552576 is a wasteful number, since it uses less digits than its factorization.

641562552576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 94 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 641562552576 in words is "six hundred forty-one billion, five hundred sixty-two million, five hundred fifty-two thousand, five hundred seventy-six".