4662974792664 has 192 divisors, whose sum is σ = 13284981309600. Its totient is φ = 1475866828800.

The previous prime is 4662974792653. The next prime is 4662974792677.

4662974792664 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 97 + 479 + 2 + 6 + 64 = 666.

4662974792664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4662974792592 and 4662974792601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35603652 + ... + 35734380.

Almost surely, 2^{4662974792664} 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 4662974792664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642490654800).

4662974792664 is an abundant number, since it is smaller than the sum of its proper divisors (8622006516936).

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

4662974792664 is a wasteful number, since it uses less digits than its factorization.

4662974792664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131106 (or 131099 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 4662974792664 in words is "four trillion, six hundred sixty-two billion, nine hundred seventy-four million, seven hundred ninety-two thousand, six hundred sixty-four".