642812991744 has 432 divisors, whose sum is σ = 2154981678080. Its totient is φ = 166510080000.

The previous prime is 642812991679. The next prime is 642812991787. The reversal of 642812991744 is 447199218246.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285566619 + ... + 285568869.

Almost surely, 2^642812991744 is an apocalyptic number.

642812991744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642812991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077490839040).

642812991744 is an abundant number, since it is smaller than the sum of its proper divisors (1512168686336).

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

642812991744 is a wasteful number, since it uses less digits than its factorization.

642812991744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2713 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The spelling of 642812991744 in words is "six hundred forty-two billion, eight hundred twelve million, nine hundred ninety-one thousand, seven hundred forty-four".