479793029760 has 384 divisors, whose sum is σ = 1818529652160. Its totient is φ = 115597393920.

The previous prime is 479793029719. The next prime is 479793029773. The reversal of 479793029760 is 67920397974.

479793029760 is a `hidden beast` number, since 479 + 7 + 93 + 0 + 2 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10304452 + ... + 10350908.

Almost surely, 2^479793029760 is an apocalyptic number.

479793029760 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 479793029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909264826080).

479793029760 is an abundant number, since it is smaller than the sum of its proper divisors (1338736622400).

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

479793029760 is a wasteful number, since it uses less digits than its factorization.

479793029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46656 (or 46641 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 479793029760 in words is "four hundred seventy-nine billion, seven hundred ninety-three million, twenty-nine thousand, seven hundred sixty".