472478662656 has 1440 divisors, whose sum is σ = 1913341149440. Its totient is φ = 112113745920.

The previous prime is 472478662651. The next prime is 472478662723. The reversal of 472478662656 is 656266874274.

472478662656 is a `hidden beast` number, since 47 + 2 + 478 + 6 + 62 + 65 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 472478662593 and 472478662602.

It is not an unprimeable number, because it can be changed into a prime (472478662651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4870914000 + ... + 4870914096.

Almost surely, 2^472478662656 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 472478662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956670574720).

472478662656 is an abundant number, since it is smaller than the sum of its proper divisors (1440862486784).

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

472478662656 is a wasteful number, since it uses less digits than its factorization.

472478662656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 472478662656 in words is "four hundred seventy-two billion, four hundred seventy-eight million, six hundred sixty-two thousand, six hundred fifty-six".