478315999872 has 384 divisors, whose sum is σ = 1496523600000. Its totient is φ = 146280701952.

The previous prime is 478315999867. The next prime is 478315999897. The reversal of 478315999872 is 278999513874.

478315999872 is a `hidden beast` number, since 4 + 78 + 315 + 99 + 98 + 72 = 666.

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

It is a super-2 number, since 2×478315999872² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 478315999872.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53147629 + ... + 53156627.

It is an arithmetic number, because the mean of its divisors is an integer number (3897196875).

Almost surely, 2^478315999872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478315999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748261800000).

478315999872 is an abundant number, since it is smaller than the sum of its proper divisors (1018207600128).

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

478315999872 is a wasteful number, since it uses less digits than its factorization.

478315999872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128 (or 9113 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 478315999872 in words is "four hundred seventy-eight billion, three hundred fifteen million, nine hundred ninety-nine thousand, eight hundred seventy-two".