476382516064 has 144 divisors (see below), whose sum is σ = 1161495653472. Its totient is φ = 188322361344.

The previous prime is 476382516041. The next prime is 476382516067. The reversal of 476382516064 is 460615283674.

It is a super-2 number, since 2×476382516064² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476382516067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64086492 + ... + 64093924.

It is an arithmetic number, because the mean of its divisors is an integer number (8065942038).

Almost surely, 2^476382516064 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 476382516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580747826736).

476382516064 is an abundant number, since it is smaller than the sum of its proper divisors (685113137408).

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

476382516064 is a wasteful number, since it uses less digits than its factorization.

476382516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9169 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 476382516064 in words is "four hundred seventy-six billion, three hundred eighty-two million, five hundred sixteen thousand, sixty-four".