476770432320 has 1568 divisors, whose sum is σ = 2155164039168. Its totient is φ = 97713340416.

The previous prime is 476770432301. The next prime is 476770432351. The reversal of 476770432320 is 23234077674.

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

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 785453457 + ... + 785454063.

Almost surely, 2^476770432320 is an apocalyptic number.

476770432320 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 476770432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077582019584).

476770432320 is an abundant number, since it is smaller than the sum of its proper divisors (1678393606848).

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

476770432320 is a wasteful number, since it uses less digits than its factorization.

476770432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 476770432320 in words is "four hundred seventy-six billion, seven hundred seventy million, four hundred thirty-two thousand, three hundred twenty".