476267784768 has 224 divisors, whose sum is σ = 1453319562240. Its totient is φ = 152782848000.

The previous prime is 476267784761. The next prime is 476267784791. The reversal of 476267784768 is 867487762674.

476267784768 is a `hidden beast` number, since 476 + 2 + 6 + 7 + 7 + 84 + 76 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 476267784696 and 476267784705.

It is not an unprimeable number, because it can be changed into a prime (476267784761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9671248 + ... + 9720368.

It is an arithmetic number, because the mean of its divisors is an integer number (6488033760).

Almost surely, 2^476267784768 is an apocalyptic number.

476267784768 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 476267784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726659781120).

476267784768 is an abundant number, since it is smaller than the sum of its proper divisors (977051777472).

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

476267784768 is a wasteful number, since it uses less digits than its factorization.

476267784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49354 (or 49338 counting only the distinct ones).

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

The spelling of 476267784768 in words is "four hundred seventy-six billion, two hundred sixty-seven million, seven hundred eighty-four thousand, seven hundred sixty-eight".