477842706432 has 2080 divisors, whose sum is σ = 1998079776000. Its totient is φ = 112368549888.

The previous prime is 477842706409. The next prime is 477842706511. The reversal of 477842706432 is 234607248774.

477842706432 is a `hidden beast` number, since 477 + 8 + 42 + 70 + 64 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25149616119 + ... + 25149616137.

Almost surely, 2^477842706432 is an apocalyptic number.

477842706432 is a gapful number since it is divisible by the number (42) 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 477842706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999039888000).

477842706432 is an abundant number, since it is smaller than the sum of its proper divisors (1520237069568).

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

477842706432 is a wasteful number, since it uses less digits than its factorization.

477842706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 477842706432 in words is "four hundred seventy-seven billion, eight hundred forty-two million, seven hundred six thousand, four hundred thirty-two".