642155584 has 168 divisors, whose sum is σ = 1605320640. Its totient is φ = 253338624.

The previous prime is 642155567. The next prime is 642155611. The reversal of 642155584 is 485551246.

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, 2091559 + ... + 2091865.

It is an arithmetic number, because the mean of its divisors is an integer number (9555480).

Almost surely, 2^642155584 is an apocalyptic number.

642155584 is a gapful number since it is divisible by the number (64) 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 642155584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802660320).

642155584 is an abundant number, since it is smaller than the sum of its proper divisors (963165056).

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

642155584 is a wasteful number, since it uses less digits than its factorization.

642155584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its digits is 192000, while the sum is 40.

The square root of 642155584 is about 25340.7889379948. The cubic root of 642155584 is about 862.7403053439.

The spelling of 642155584 in words is "six hundred forty-two million, one hundred fifty-five thousand, five hundred eighty-four".