642379164 has 96 divisors (see below), whose sum is σ = 1746124800. Its totient is φ = 180024768.

The previous prime is 642379147. The next prime is 642379211. The reversal of 642379164 is 461973246.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1387197 + ... + 1387659.

It is an arithmetic number, because the mean of its divisors is an integer number (18188800).

Almost surely, 2^642379164 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 642379164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873062400).

642379164 is an abundant number, since it is smaller than the sum of its proper divisors (1103745636).

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

642379164 is a wasteful number, since it uses less digits than its factorization.

642379164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 642379164 is about 25345.2000189385. The cubic root of 642379164 is about 862.8404207989.

The spelling of 642379164 in words is "six hundred forty-two million, three hundred seventy-nine thousand, one hundred sixty-four".