479720341900800 has 15120 divisors, whose sum is σ = 2648771642452320. Its totient is φ = 84978715852800.

The previous prime is 479720341900783. The next prime is 479720341900801. The reversal of 479720341900800 is 8009143027974.

479720341900800 is a `hidden beast` number, since 4 + 79 + 72 + 0 + 341 + 90 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (15120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479720341900801) by changing a digit.

It is a polite number, since it can be written in 1511 ways as a sum of consecutive naturals, for example, 16542080755186 + ... + 16542080755214.

It is an arithmetic number, because the mean of its divisors is an integer number (175183309686).

Almost surely, 2^{479720341900800} is an apocalyptic number.

479720341900800 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 479720341900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324385821226160).

479720341900800 is an abundant number, since it is smaller than the sum of its proper divisors (2169051300551520).

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

479720341900800 is a wasteful number, since it uses less digits than its factorization.

479720341900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 479720341900800 in words is "four hundred seventy-nine trillion, seven hundred twenty billion, three hundred forty-one million, nine hundred thousand, eight hundred".