476794805760 has 2400 divisors, whose sum is σ = 2265288806880. Its totient is φ = 94680907776.

The previous prime is 476794805731. The next prime is 476794805819. The reversal of 476794805760 is 67508497674.

476794805760 is a `hidden beast` number, since 47 + 6 + 7 + 9 + 480 + 57 + 60 = 666.

It is a super-2 number, since 2×476794805760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28046753272 + ... + 28046753288.

Almost surely, 2^476794805760 is an apocalyptic number.

476794805760 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 476794805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132644403440).

476794805760 is an abundant number, since it is smaller than the sum of its proper divisors (1788494001120).

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

476794805760 is an equidigital number, since it uses as much as digits as its factorization.

476794805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 476794805760 in words is "four hundred seventy-six billion, seven hundred ninety-four million, eight hundred five thousand, seven hundred sixty".