476120064 has 132 divisors (see below), whose sum is σ = 1476689424. Its totient is φ = 135991296.

The previous prime is 476120039. The next prime is 476120077. The reversal of 476120064 is 460021674.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148947 + ... + 152109.

Almost surely, 2^476120064 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 476120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738344712).

476120064 is an abundant number, since it is smaller than the sum of its proper divisors (1000569360).

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

476120064 is a wasteful number, since it uses less digits than its factorization.

476120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 476120064 is about 21820.1756179917. The cubic root of 476120064 is about 780.8581744705.

The spelling of 476120064 in words is "four hundred seventy-six million, one hundred twenty thousand, sixty-four".