472039027826688 has 1344 divisors, whose sum is σ = 1713890333675520. Its totient is φ = 126732868780032.

The previous prime is 472039027826677. The next prime is 472039027826701. The reversal of 472039027826688 is 886628720930274.

472039027826688 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 3 + 90 + 278 + 266 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204434398078 + ... + 204434400386.

It is an arithmetic number, because the mean of its divisors is an integer number (1275216022080).

Almost surely, 2^{472039027826688} is an apocalyptic number.

472039027826688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472039027826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856945166837760).

472039027826688 is an abundant number, since it is smaller than the sum of its proper divisors (1241851305848832).

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

472039027826688 is an equidigital number, since it uses as much as digits as its factorization.

472039027826688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 472039027826688 in words is "four hundred seventy-two trillion, thirty-nine billion, twenty-seven million, eight hundred twenty-six thousand, six hundred eighty-eight".