4642621972074 has 96 divisors (see below), whose sum is σ = 11245160871360. Its totient is φ = 1375681190400.

The previous prime is 4642621972063. The next prime is 4642621972111. The reversal of 4642621972074 is 4702791262464.

4642621972074 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 621 + 9 + 7 + 2 + 0 + 7 + 4 = 666.

It is a super-2 number, since 2×4642621972074² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4642621972074.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718204 + ... + 3130664.

It is an arithmetic number, because the mean of its divisors is an integer number (117137092410).

Almost surely, 2^{4642621972074} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642621972074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622580435680).

4642621972074 is an abundant number, since it is smaller than the sum of its proper divisors (6602538899286).

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

4642621972074 is a wasteful number, since it uses less digits than its factorization.

4642621972074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412836 (or 2412833 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4642621972074 in words is "four trillion, six hundred forty-two billion, six hundred twenty-one million, nine hundred seventy-two thousand, seventy-four".