478432976518008 has 288 divisors, whose sum is σ = 1370493935450640. Its totient is φ = 150758298040320.

The previous prime is 478432976517997. The next prime is 478432976518043. The reversal of 478432976518008 is 800815679234874.

It is a happy number.

478432976518008 is a `hidden beast` number, since 4 + 7 + 8 + 4 + 32 + 9 + 76 + 518 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×478432976518008² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55036574110 + ... + 55036582802.

It is a 1-persistent number, because it is pandigital, but 2⋅478432976518008 = 956865953036016 is not.

Almost surely, 2^{478432976518008} 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 478432976518008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685246967725320).

478432976518008 is an abundant number, since it is smaller than the sum of its proper divisors (892060958932632).

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

478432976518008 is a wasteful number, since it uses less digits than its factorization.

478432976518008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13067 (or 13041 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 478432976518008 in words is "four hundred seventy-eight trillion, four hundred thirty-two billion, nine hundred seventy-six million, five hundred eighteen thousand, eight".