476990260346880 has 3456 divisors, whose sum is σ = 2086693408762560. Its totient is φ = 100443346698240.

The previous prime is 476990260346857. The next prime is 476990260346939. The reversal of 476990260346880 is 88643062099674.

476990260346880 is a `hidden beast` number, since 4 + 7 + 6 + 9 + 9 + 0 + 2 + 603 + 4 + 6 + 8 + 8 + 0 = 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 = 476990260346799 and 476990260346808.

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 215 ways as a sum of consecutive naturals, for example, 1106705940265 + ... + 1106705940695.

Almost surely, 2^{476990260346880} is an apocalyptic number.

476990260346880 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 476990260346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043346704381280).

476990260346880 is an abundant number, since it is smaller than the sum of its proper divisors (1609703148415680).

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

476990260346880 is a wasteful number, since it uses less digits than its factorization.

476990260346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 476990260346880 in words is "four hundred seventy-six trillion, nine hundred ninety billion, two hundred sixty million, three hundred forty-six thousand, eight hundred eighty".