642642144 has 48 divisors (see below), whose sum is σ = 1689061248. Its totient is φ = 213944192.

The previous prime is 642642131. The next prime is 642642163. The reversal of 642642144 is 441246246.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81379 + ... + 88925.

It is an arithmetic number, because the mean of its divisors is an integer number (35188776).

Almost surely, 2^642642144 is an apocalyptic number.

It is an amenable number.

642642144 is an abundant number, since it is smaller than the sum of its proper divisors (1046419104).

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

642642144 is a wasteful number, since it uses less digits than its factorization.

642642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 8439 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 642642144 is about 25350.3874526604. The cubic root of 642642144 is about 862.9581492004.

The spelling of 642642144 in words is "six hundred forty-two million, six hundred forty-two thousand, one hundred forty-four".