642372014592 has 960 divisors, whose sum is σ = 2436658329600. Its totient is φ = 162326937600.

The previous prime is 642372014569. The next prime is 642372014639. The reversal of 642372014592 is 295410273246.

642372014592 is a `hidden beast` number, since 6 + 4 + 2 + 37 + 20 + 1 + 4 + 592 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1789336909 + ... + 1789337267.

It is an arithmetic number, because the mean of its divisors is an integer number (2538185760).

Almost surely, 2^642372014592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642372014592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218329164800).

642372014592 is an abundant number, since it is smaller than the sum of its proper divisors (1794286315008).

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

642372014592 is a wasteful number, since it uses less digits than its factorization.

642372014592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 642372014592 in words is "six hundred forty-two billion, three hundred seventy-two million, fourteen thousand, five hundred ninety-two".