476016875762868 has 240 divisors, whose sum is σ = 1395918112393728. Its totient is φ = 140177975328000.

The previous prime is 476016875762819. The next prime is 476016875762917. The reversal of 476016875762868 is 868267578610674.

476016875762868 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 16 + 8 + 7 + 576 + 28 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (476016875762819) and next prime (476016875762917).

It is a super-2 number, since 2×476016875762868² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106065213 + ... + 110462043.

Almost surely, 2^{476016875762868} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476016875762868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697959056196864).

476016875762868 is an abundant number, since it is smaller than the sum of its proper divisors (919901236630860).

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

476016875762868 is a wasteful number, since it uses less digits than its factorization.

476016875762868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397716 (or 4397705 counting only the distinct ones).

The product of its (nonzero) digits is 9103933440, while the sum is 81.

The spelling of 476016875762868 in words is "four hundred seventy-six trillion, sixteen billion, eight hundred seventy-five million, seven hundred sixty-two thousand, eight hundred sixty-eight".