479025999079200 has 1080 divisors, whose sum is σ = 1842467533530624. Its totient is φ = 120988287360000.

The previous prime is 479025999079183. The next prime is 479025999079223. The reversal of 479025999079200 is 2970999520974.

479025999079200 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 2 + 599 + 9 + 0 + 7 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 4437385225 + ... + 4437493175.

Almost surely, 2^{479025999079200} is an apocalyptic number.

479025999079200 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 479025999079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921233766765312).

479025999079200 is an abundant number, since it is smaller than the sum of its proper divisors (1363441534451424).

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

479025999079200 is a wasteful number, since it uses less digits than its factorization.

479025999079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108108 (or 108039 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 479025999079200 in words is "four hundred seventy-nine trillion, twenty-five billion, nine hundred ninety-nine million, seventy-nine thousand, two hundred".