479748251908800 has 6048 divisors, whose sum is σ = 2337468272455680. Its totient is φ = 95864419123200.

The previous prime is 479748251908799. The next prime is 479748251908841. The reversal of 479748251908800 is 8809152847974.

479748251908800 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 482 + 51 + 90 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 326137492065 + ... + 326137493535.

It is an arithmetic number, because the mean of its divisors is an integer number (386486156160).

Almost surely, 2^{479748251908800} is an apocalyptic number.

479748251908800 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 479748251908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168734136227840).

479748251908800 is an abundant number, since it is smaller than the sum of its proper divisors (1857720020546880).

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

479748251908800 is a wasteful number, since it uses less digits than its factorization.

479748251908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 479748251908800 in words is "four hundred seventy-nine trillion, seven hundred forty-eight billion, two hundred fifty-one million, nine hundred eight thousand, eight hundred".