642058956 has 288 divisors, whose sum is σ = 2149056000. Its totient is φ = 160030080.

The previous prime is 642058943. The next prime is 642058987. The reversal of 642058956 is 659850246.

642058956 is a `hidden beast` number, since 64 + 2 + 0 + 589 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3938931 + ... + 3939093.

It is an arithmetic number, because the mean of its divisors is an integer number (7462000).

Almost surely, 2^642058956 is an apocalyptic number.

642058956 is a gapful number since it is divisible by the number (66) 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 642058956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074528000).

642058956 is an abundant number, since it is smaller than the sum of its proper divisors (1506997044).

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

642058956 is a wasteful number, since it uses less digits than its factorization.

642058956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 642058956 is about 25338.8822957920. The cubic root of 642058956 is about 862.6970297193.

The spelling of 642058956 in words is "six hundred forty-two million, fifty-eight thousand, nine hundred fifty-six".