476728243200 has 528 divisors, whose sum is σ = 1909862790720. Its totient is φ = 115568640000.

The previous prime is 476728243177. The next prime is 476728243219. The reversal of 476728243200 is 2342827674.

476728243200 is a `hidden beast` number, since 4 + 76 + 72 + 82 + 432 + 0 + 0 = 666.

476728243200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

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, 7571850 + ... + 7634550.

Almost surely, 2^476728243200 is an apocalyptic number.

476728243200 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 476728243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954931395360).

476728243200 is an abundant number, since it is smaller than the sum of its proper divisors (1433134547520).

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

476728243200 is a wasteful number, since it uses less digits than its factorization.

476728243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62751 (or 62722 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 476728243200 in words is "four hundred seventy-six billion, seven hundred twenty-eight million, two hundred forty-three thousand, two hundred".