477796475520 has 2304 divisors, whose sum is σ = 2201393376000. Its totient is φ = 98907734016.

The previous prime is 477796475503. The next prime is 477796475539. The reversal of 477796475520 is 25574697774.

477796475520 is a `hidden beast` number, since 4 + 7 + 7 + 79 + 6 + 4 + 7 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9015027814 + ... + 9015027866.

It is an arithmetic number, because the mean of its divisors is an integer number (955465875).

Almost surely, 2^477796475520 is an apocalyptic number.

477796475520 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 477796475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100696688000).

477796475520 is an abundant number, since it is smaller than the sum of its proper divisors (1723596900480).

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

477796475520 is an equidigital number, since it uses as much as digits as its factorization.

477796475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 477796475520 in words is "four hundred seventy-seven billion, seven hundred ninety-six million, four hundred seventy-five thousand, five hundred twenty".