479882763360 has 1920 divisors, whose sum is σ = 2310358837248. Its totient is φ = 90574848000.

The previous prime is 479882763343. The next prime is 479882763449. The reversal of 479882763360 is 63367288974.

479882763360 is a `hidden beast` number, since 47 + 98 + 82 + 76 + 3 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 921079900 + ... + 921080420.

Almost surely, 2^479882763360 is an apocalyptic number.

479882763360 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 479882763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155179418624).

479882763360 is an abundant number, since it is smaller than the sum of its proper divisors (1830476073888).

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

479882763360 is a wasteful number, since it uses less digits than its factorization.

479882763360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 479882763360 in words is "four hundred seventy-nine billion, eight hundred eighty-two million, seven hundred sixty-three thousand, three hundred sixty".