476420566163724 has 3072 divisors, whose sum is σ = 1730600847360000. Its totient is φ = 109872362815488.

The previous prime is 476420566163723. The next prime is 476420566163749. The reversal of 476420566163724 is 427361665024674.

476420566163724 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 2 + 0 + 5 + 6 + 616 + 3 + 7 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (476420566163723) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 3034525899054 + ... + 3034525899210.

It is an arithmetic number, because the mean of its divisors is an integer number (563346630000).

Almost surely, 2^{476420566163724} 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 476420566163724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865300423680000).

476420566163724 is an abundant number, since it is smaller than the sum of its proper divisors (1254180281196276).

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

476420566163724 is a wasteful number, since it uses less digits than its factorization.

476420566163724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 476420566163724 in words is "four hundred seventy-six trillion, four hundred twenty billion, five hundred sixty-six million, one hundred sixty-three thousand, seven hundred twenty-four".