642769600 has 168 divisors, whose sum is σ = 1757476800. Its totient is φ = 229401600.

The previous prime is 642769597. The next prime is 642769619. The reversal of 642769600 is 6967246.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038091 + ... + 1038709.

Almost surely, 2^642769600 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 642769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878738400).

642769600 is an abundant number, since it is smaller than the sum of its proper divisors (1114707200).

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

642769600 is a wasteful number, since it uses less digits than its factorization.

642769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 642769600 is about 25352.9012146539. The cubic root of 642769600 is about 863.0151959432.

The spelling of 642769600 in words is "six hundred forty-two million, seven hundred sixty-nine thousand, six hundred".