477966396672 has 432 divisors, whose sum is σ = 1486374332352. Its totient is φ = 153061539840.

The previous prime is 477966396667. The next prime is 477966396701. The reversal of 477966396672 is 276693669774.

477966396672 is a `hidden beast` number, since 47 + 79 + 66 + 396 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 477966396672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170883978 + ... + 170886774.

Almost surely, 2^477966396672 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 477966396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743187166176).

477966396672 is an abundant number, since it is smaller than the sum of its proper divisors (1008407935680).

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

477966396672 is an equidigital number, since it uses as much as digits as its factorization.

477966396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2910 counting only the distinct ones).

The product of its digits is 864162432, while the sum is 72.

The spelling of 477966396672 in words is "four hundred seventy-seven billion, nine hundred sixty-six million, three hundred ninety-six thousand, six hundred seventy-two".