478736032320 has 1792 divisors, whose sum is σ = 2223040512000. Its totient is φ = 94165991424.

The previous prime is 478736032283. The next prime is 478736032321. The reversal of 478736032320 is 23230637874.

478736032320 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 3 + 603 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (478736032321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1090514661 + ... + 1090515099.

It is an arithmetic number, because the mean of its divisors is an integer number (1240536000).

Almost surely, 2^478736032320 is an apocalyptic number.

478736032320 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 478736032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111520256000).

478736032320 is an abundant number, since it is smaller than the sum of its proper divisors (1744304479680).

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

478736032320 is a wasteful number, since it uses less digits than its factorization.

478736032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 478736032320 in words is "four hundred seventy-eight billion, seven hundred thirty-six million, thirty-two thousand, three hundred twenty".