641857345600 has 63 divisors (see below), whose sum is σ = 1579449089127. Its totient is φ = 256730119680.

The previous prime is 641857345561. The next prime is 641857345637. The reversal of 641857345600 is 6543758146.

The square root of 641857345600 is 801160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 93357135936 + 548500209664 = 305544^2 + 740608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32036386 + ... + 32056414.

Almost surely, 2^641857345600 is an apocalyptic number.

641857345600 is the 801160-th square number.

It is an amenable number.

641857345600 is an abundant number, since it is smaller than the sum of its proper divisors (937591743527).

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

641857345600 is an frugal number, since it uses more digits than its factorization.

641857345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40080 (or 20036 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 641857345600 by its sum of digits (49), we get a square (31451009934400 = 5608120²).

The spelling of 641857345600 in words is "six hundred forty-one billion, eight hundred fifty-seven million, three hundred forty-five thousand, six hundred".