642972006 has 40 divisors (see below), whose sum is σ = 1442271600. Its totient is φ = 214095312.

The previous prime is 642971993. The next prime is 642972017. The reversal of 642972006 is 600279246.

It is a happy number.

642972006 is a `hidden beast` number, since 642 + 9 + 7 + 2 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225220 + ... + 228056.

It is an arithmetic number, because the mean of its divisors is an integer number (36056790).

Almost surely, 2^642972006 is an apocalyptic number.

642972006 is an abundant number, since it is smaller than the sum of its proper divisors (799299594).

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

642972006 is a wasteful number, since it uses less digits than its factorization.

642972006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 642972006 is about 25356.8926724076. The cubic root of 642972006 is about 863.1057733038.

The spelling of 642972006 in words is "six hundred forty-two million, nine hundred seventy-two thousand, six".