478896714720 has 480 divisors, whose sum is σ = 1770764599296. Its totient is φ = 121734835200.

The previous prime is 478896714713. The next prime is 478896714733. The reversal of 478896714720 is 27417698874.

478896714720 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 96 + 71 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26909025 + ... + 26926815.

Almost surely, 2^478896714720 is an apocalyptic number.

478896714720 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 478896714720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885382299648).

478896714720 is an abundant number, since it is smaller than the sum of its proper divisors (1291867884576).

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

478896714720 is a wasteful number, since it uses less digits than its factorization.

478896714720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17916 (or 17899 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 478896714720 in words is "four hundred seventy-eight billion, eight hundred ninety-six million, seven hundred fourteen thousand, seven hundred twenty".