642527290084 has 27 divisors (see below), whose sum is σ = 1128174986043. Its totient is φ = 320195141568.

The previous prime is 642527290073. The next prime is 642527290109. The reversal of 642527290084 is 480092725246.

The square root of 642527290084 is 801578.

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 321854251684 + 320673038400 = 567322^2 + 566280^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 732641854 + ... + 732642730.

Almost surely, 2^642527290084 is an apocalyptic number.

642527290084 is the 801578-th square number.

It is an amenable number.

642527290084 is a deficient number, since it is larger than the sum of its proper divisors (485647695959).

642527290084 is an frugal number, since it uses more digits than its factorization.

642527290084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 642527290084 by its sum of digits (49), we get a square (31483837214116 = 5611046²).

The spelling of 642527290084 in words is "six hundred forty-two billion, five hundred twenty-seven million, two hundred ninety thousand, eighty-four".