472868734464 has 640 divisors, whose sum is σ = 1685511168000. Its totient is φ = 130706472960.

The previous prime is 472868734463. The next prime is 472868734493. The reversal of 472868734464 is 464437868274.

472868734464 is a `hidden beast` number, since 4 + 7 + 286 + 8 + 7 + 344 + 6 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472868734463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146988984 + ... + 146992200.

It is an arithmetic number, because the mean of its divisors is an integer number (2633611200).

Almost surely, 2^472868734464 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 472868734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842755584000).

472868734464 is an abundant number, since it is smaller than the sum of its proper divisors (1212642433536).

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

472868734464 is an equidigital number, since it uses as much as digits as its factorization.

472868734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3260 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 63.

The spelling of 472868734464 in words is "four hundred seventy-two billion, eight hundred sixty-eight million, seven hundred thirty-four thousand, four hundred sixty-four".