477663552000 has 480 divisors, whose sum is σ = 1821695104944. Its totient is φ = 119881728000.

The previous prime is 477663551951. The next prime is 477663552019. The reversal of 477663552000 is 255366774.

477663552000 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 635 + 5 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 370485504 + 477293066496 = 19248^2 + 690864^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9767610 + ... + 9816390.

Almost surely, 2^477663552000 is an apocalyptic number.

477663552000 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 477663552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910847552472).

477663552000 is an abundant number, since it is smaller than the sum of its proper divisors (1344031552944).

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

477663552000 is a wasteful number, since it uses less digits than its factorization.

477663552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48837 (or 48808 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 477663552000 in words is "four hundred seventy-seven billion, six hundred sixty-three million, five hundred fifty-two thousand".