479807956992 has 1152 divisors, whose sum is σ = 1748849356800. Its totient is φ = 113547018240.

The previous prime is 479807956987. The next prime is 479807957017. The reversal of 479807956992 is 299659708974.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10208679913 + ... + 10208679959.

It is an arithmetic number, because the mean of its divisors is an integer number (1518098400).

Almost surely, 2^479807956992 is an apocalyptic number.

479807956992 is a gapful number since it is divisible by the number (42) 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 479807956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874424678400).

479807956992 is an abundant number, since it is smaller than the sum of its proper divisors (1269041399808).

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

479807956992 is a wasteful number, since it uses less digits than its factorization.

479807956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 75.

The spelling of 479807956992 in words is "four hundred seventy-nine billion, eight hundred seven million, nine hundred fifty-six thousand, nine hundred ninety-two".