4676879692800 has 528 divisors, whose sum is σ = 19628377096320. Its totient is φ = 1068999966720.

The previous prime is 4676879692781. The next prime is 4676879692819. The reversal of 4676879692800 is 82969786764.

4676879692800 is a `hidden beast` number, since 467 + 6 + 8 + 79 + 6 + 92 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4676879692781) and next prime (4676879692819).

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

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, 4355092 + ... + 5321708.

Almost surely, 2^{4676879692800} is an apocalyptic number.

4676879692800 is a gapful number since it is divisible by the number (40) 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 4676879692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814188548160).

4676879692800 is an abundant number, since it is smaller than the sum of its proper divisors (14951497403520).

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

4676879692800 is a wasteful number, since it uses less digits than its factorization.

4676879692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966663 (or 966634 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 4676879692800 in words is "four trillion, six hundred seventy-six billion, eight hundred seventy-nine million, six hundred ninety-two thousand, eight hundred".