478906636800 has 480 divisors, whose sum is σ = 1604740718592. Its totient is φ = 125891297280.

The previous prime is 478906636763. The next prime is 478906636807. The reversal of 478906636800 is 8636609874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×478906636800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (478906636807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380134227 + ... + 1380134573.

Almost surely, 2^478906636800 is an apocalyptic number.

478906636800 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 478906636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802370359296).

478906636800 is an abundant number, since it is smaller than the sum of its proper divisors (1125834081792).

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

478906636800 is a wasteful number, since it uses less digits than its factorization.

478906636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 478906636800 in words is "four hundred seventy-eight billion, nine hundred six million, six hundred thirty-six thousand, eight hundred".