478713737246976 has 432 divisors, whose sum is σ = 1811400876579840. Its totient is φ = 117796954337280.

The previous prime is 478713737246923. The next prime is 478713737246981. The reversal of 478713737246976 is 679642737317874.

478713737246976 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 13 + 7 + 3 + 72 + 469 + 76 = 666.

It is a super-2 number, since 2×478713737246976² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 478713737246895 and 478713737246904.

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, 67639180 + ... + 74380683.

Almost surely, 2^{478713737246976} is an apocalyptic number.

It is an amenable number.

478713737246976 is an abundant number, since it is smaller than the sum of its proper divisors (1332687139332864).

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

478713737246976 is a wasteful number, since it uses less digits than its factorization.

478713737246976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142019922 (or 142019905 counting only the distinct ones).

The product of its digits is 12546358272, while the sum is 81.

The spelling of 478713737246976 in words is "four hundred seventy-eight trillion, seven hundred thirteen billion, seven hundred thirty-seven million, two hundred forty-six thousand, nine hundred seventy-six".