472865664882688 has 384 divisors, whose sum is σ = 1225715452416000. Its totient is φ = 176988723609600.

The previous prime is 472865664882683. The next prime is 472865664882803. The reversal of 472865664882688 is 886288466568274.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a junction number, because it is equal to n+sod(n) for n = 472865664882599 and 472865664882608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472865664882683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669381888 + ... + 670087936.

It is an arithmetic number, because the mean of its divisors is an integer number (3191967324000).

Almost surely, 2^{472865664882688} 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 472865664882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612857726208000).

472865664882688 is an abundant number, since it is smaller than the sum of its proper divisors (752849787533312).

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

472865664882688 is a wasteful number, since it uses less digits than its factorization.

472865664882688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706257 (or 706237 counting only the distinct ones).

The product of its digits is 95126814720, while the sum is 88.

The spelling of 472865664882688 in words is "four hundred seventy-two trillion, eight hundred sixty-five billion, six hundred sixty-four million, eight hundred eighty-two thousand, six hundred eighty-eight".