477772492280832 has 264 divisors, whose sum is σ = 1585445443358400. Its totient is φ = 135743817351168.

The previous prime is 477772492280777. The next prime is 477772492280869. The reversal of 477772492280832 is 238082294277774.

477772492280832 is a `hidden beast` number, since 4 + 7 + 7 + 77 + 249 + 2 + 280 + 8 + 32 = 666.

It is a super-2 number, since 2×477772492280832² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9139357 + ... + 32234652.

Almost surely, 2^{477772492280832} is an apocalyptic number.

477772492280832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

477772492280832 is an abundant number, since it is smaller than the sum of its proper divisors (1107672951077568).

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

477772492280832 is a wasteful number, since it uses less digits than its factorization.

477772492280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41374221 (or 41374200 counting only the distinct ones).

The product of its (nonzero) digits is 1062125568, while the sum is 72.

The spelling of 477772492280832 in words is "four hundred seventy-seven trillion, seven hundred seventy-two billion, four hundred ninety-two million, two hundred eighty thousand, eight hundred thirty-two".