475464880800 has 3024 divisors, whose sum is σ = 2348706673152. Its totient is φ = 91371110400.

The previous prime is 475464880747. The next prime is 475464880841. The reversal of 475464880800 is 8088464574.

475464880800 is a `hidden beast` number, since 47 + 5 + 46 + 488 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 15337576785 + ... + 15337576815.

Almost surely, 2^475464880800 is an apocalyptic number.

475464880800 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 475464880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174353336576).

475464880800 is an abundant number, since it is smaller than the sum of its proper divisors (1873241792352).

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

475464880800 is a wasteful number, since it uses less digits than its factorization.

475464880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 475464880800 in words is "four hundred seventy-five billion, four hundred sixty-four million, eight hundred eighty thousand, eight hundred".