478496680992 has 672 divisors, whose sum is σ = 1587066638976. Its totient is φ = 140714496000.

The previous prime is 478496680967. The next prime is 478496681011. The reversal of 478496680992 is 299086694874.

478496680992 is a `hidden beast` number, since 4 + 78 + 496 + 68 + 0 + 9 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 478496680992.

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, 2053633708 + ... + 2053633940.

It is an arithmetic number, because the mean of its divisors is an integer number (2361706308).

Almost surely, 2^478496680992 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 478496680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793533319488).

478496680992 is an abundant number, since it is smaller than the sum of its proper divisors (1108569957984).

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

478496680992 is a wasteful number, since it uses less digits than its factorization.

478496680992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 478496680992 in words is "four hundred seventy-eight billion, four hundred ninety-six million, six hundred eighty thousand, nine hundred ninety-two".