4680964279404 has 288 divisors, whose sum is σ = 14189633110016. Its totient is φ = 1273316889600.

The previous prime is 4680964279339. The next prime is 4680964279421. The reversal of 4680964279404 is 4049724690864.

4680964279404 is a `hidden beast` number, since 4 + 6 + 80 + 96 + 427 + 9 + 40 + 4 = 666.

It is a super-2 number, since 2×4680964279404² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86415729 + ... + 86469879.

Almost surely, 2^{4680964279404} 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 4680964279404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094816555008).

4680964279404 is an abundant number, since it is smaller than the sum of its proper divisors (9508668830612).

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

4680964279404 is a wasteful number, since it uses less digits than its factorization.

4680964279404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54405 (or 54400 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4680964279404 in words is "four trillion, six hundred eighty billion, nine hundred sixty-four million, two hundred seventy-nine thousand, four hundred four".