642945024 has 156 divisors (see below), whose sum is σ = 1886026896. Its totient is φ = 211009536.

The previous prime is 642945019. The next prime is 642945031. The reversal of 642945024 is 420549246.

642945024 is a `hidden beast` number, since 64 + 2 + 94 + 502 + 4 = 666.

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 642945024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3944367 + ... + 3944529.

It is an arithmetic number, because the mean of its divisors is an integer number (12089916).

Almost surely, 2^642945024 is an apocalyptic number.

642945024 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 642945024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943013448).

642945024 is an abundant number, since it is smaller than the sum of its proper divisors (1243081872).

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

642945024 is a wasteful number, since it uses less digits than its factorization.

642945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 642945024 is about 25356.3606221398. The cubic root of 642945024 is about 863.0936998669.

The spelling of 642945024 in words is "six hundred forty-two million, nine hundred forty-five thousand, twenty-four".