478186705920 has 1056 divisors, whose sum is σ = 2027060582400. Its totient is φ = 93451714560.

The previous prime is 478186705907. The next prime is 478186705991. The reversal of 478186705920 is 29507681874.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341805381 + ... + 341806779.

Almost surely, 2^478186705920 is an apocalyptic number.

478186705920 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 478186705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013530291200).

478186705920 is an abundant number, since it is smaller than the sum of its proper divisors (1548873876480).

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

478186705920 is a wasteful number, since it uses less digits than its factorization.

478186705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 478186705920 in words is "four hundred seventy-eight billion, one hundred eighty-six million, seven hundred five thousand, nine hundred twenty".