475964680464 has 720 divisors, whose sum is σ = 1744488345600. Its totient is φ = 118287516672.

The previous prime is 475964680447. The next prime is 475964680553. The reversal of 475964680464 is 464086469574.

It is a happy number.

475964680464 is a `hidden beast` number, since 4 + 7 + 5 + 96 + 4 + 6 + 80 + 464 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 993662977 + ... + 993663455.

It is an arithmetic number, because the mean of its divisors is an integer number (2422900480).

Almost surely, 2^475964680464 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 475964680464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872244172800).

475964680464 is an abundant number, since it is smaller than the sum of its proper divisors (1268523665136).

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

475964680464 is a wasteful number, since it uses less digits than its factorization.

475964680464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 475964680464 in words is "four hundred seventy-five billion, nine hundred sixty-four million, six hundred eighty thousand, four hundred sixty-four".