478047873600 has 2352 divisors, whose sum is σ = 2119210879680. Its totient is φ = 104808038400.

The previous prime is 478047873577. The next prime is 478047873629. The reversal of 478047873600 is 6378740874.

478047873600 is a `hidden beast` number, since 47 + 8 + 0 + 478 + 73 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9019771174 + ... + 9019771226.

Almost surely, 2^478047873600 is an apocalyptic number.

478047873600 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 478047873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059605439840).

478047873600 is an abundant number, since it is smaller than the sum of its proper divisors (1641163006080).

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

478047873600 is a wasteful number, since it uses less digits than its factorization.

478047873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 478047873600 in words is "four hundred seventy-eight billion, forty-seven million, eight hundred seventy-three thousand, six hundred".