642431130336 has 48 divisors (see below), whose sum is σ = 1873757466000. Its totient is φ = 214143709824.

The previous prime is 642431130227. The next prime is 642431130337. The reversal of 642431130336 is 633031134246.

642431130336 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 311 + 3 + 0 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 642431130336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642431130337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371776411 + ... + 371778138.

It is an arithmetic number, because the mean of its divisors is an integer number (39036613875).

Almost surely, 2^642431130336 is an apocalyptic number.

It is an amenable number.

642431130336 is an abundant number, since it is smaller than the sum of its proper divisors (1231326335664).

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

642431130336 is a wasteful number, since it uses less digits than its factorization.

642431130336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743554568 (or 743554554 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 642431130336 in words is "six hundred forty-two billion, four hundred thirty-one million, one hundred thirty thousand, three hundred thirty-six".