642943433611584 has 2688 divisors, whose sum is σ = 2474424336384000. Its totient is φ = 161306558300160.

The previous prime is 642943433611579. The next prime is 642943433611639. The reversal of 642943433611584 is 485116334349246.

642943433611584 is a `hidden beast` number, since 6 + 4 + 2 + 9 + 4 + 3 + 4 + 3 + 3 + 611 + 5 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 194890399567 + ... + 194890402865.

It is an arithmetic number, because the mean of its divisors is an integer number (920544768000).

Almost surely, 2^{642943433611584} is an apocalyptic number.

642943433611584 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 642943433611584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237212168192000).

642943433611584 is an abundant number, since it is smaller than the sum of its proper divisors (1831480902772416).

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

642943433611584 is a wasteful number, since it uses less digits than its factorization.

642943433611584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3481 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 642943433611584 in words is "six hundred forty-two trillion, nine hundred forty-three billion, four hundred thirty-three million, six hundred eleven thousand, five hundred eighty-four".