4642130935584 has 672 divisors, whose sum is σ = 14596539116544. Its totient is φ = 1449506741760.

The previous prime is 4642130935567. The next prime is 4642130935597. The reversal of 4642130935584 is 4855390312464.

It is a happy number.

4642130935584 is a `hidden beast` number, since 4 + 6 + 4 + 21 + 3 + 0 + 9 + 35 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4642130935584.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9454441579 + ... + 9454442069.

It is an arithmetic number, because the mean of its divisors is an integer number (21721040352).

Almost surely, 2^{4642130935584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642130935584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298269558272).

4642130935584 is an abundant number, since it is smaller than the sum of its proper divisors (9954408180960).

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

4642130935584 is a wasteful number, since it uses less digits than its factorization.

4642130935584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4642130935584 in words is "four trillion, six hundred forty-two billion, one hundred thirty million, nine hundred thirty-five thousand, five hundred eighty-four".