642742130944 has 81 divisors (see below), whose sum is σ = 1299859756993. Its totient is φ = 317195749376.

The previous prime is 642742130923. The next prime is 642742130963. The reversal of 642742130944 is 449031247246.

The square root of 642742130944 is 801712.

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

It can be written as a sum of positive squares in only one way, i.e., 123420121344 + 519322009600 = 351312^2 + 720640^2 .

It is a super-2 number, since 2×642742130944² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 642742130894 and 642742130903.

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, 1141637607 + ... + 1141638169.

Almost surely, 2^642742130944 is an apocalyptic number.

642742130944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

642742130944 is the 801712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642742130944

642742130944 is an abundant number, since it is smaller than the sum of its proper divisors (657117626049).

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

642742130944 is an frugal number, since it uses more digits than its factorization.

642742130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 642742130944 in words is "six hundred forty-two billion, seven hundred forty-two million, one hundred thirty thousand, nine hundred forty-four".