476489877147648 has 1248 divisors, whose sum is σ = 1724914198425600. Its totient is φ = 123378367463424.

The previous prime is 476489877147629. The next prime is 476489877147677. The reversal of 476489877147648 is 846741778984674.

476489877147648 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 8 + 98 + 7 + 7 + 1 + 476 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294311226583 + ... + 294311228201.

It is an arithmetic number, because the mean of its divisors is an integer number (1382142787200).

Almost surely, 2^{476489877147648} is an apocalyptic number.

476489877147648 is a gapful number since it is divisible by the number (48) 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 476489877147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862457099212800).

476489877147648 is an abundant number, since it is smaller than the sum of its proper divisors (1248424321277952).

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

476489877147648 is a wasteful number, since it uses less digits than its factorization.

476489877147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3190 counting only the distinct ones).

The product of its digits is 101964054528, while the sum is 90.

The spelling of 476489877147648 in words is "four hundred seventy-six trillion, four hundred eighty-nine billion, eight hundred seventy-seven million, one hundred forty-seven thousand, six hundred forty-eight".