464272007689728 has 640 divisors, whose sum is σ = 1641790537728000. Its totient is φ = 126745137192960.

The previous prime is 464272007689709. The next prime is 464272007689741. The reversal of 464272007689728 is 827986700272464.

464272007689728 is a `hidden beast` number, since 4 + 6 + 427 + 20 + 0 + 76 + 8 + 97 + 28 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 236005293 + ... + 237964371.

It is an arithmetic number, because the mean of its divisors is an integer number (2565297715200).

Almost surely, 2^{464272007689728} is an apocalyptic number.

464272007689728 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 464272007689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820895268864000).

464272007689728 is an abundant number, since it is smaller than the sum of its proper divisors (1177518530038272).

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

464272007689728 is a wasteful number, since it uses less digits than its factorization.

464272007689728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959223 (or 1959201 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 464272007689728 in words is "four hundred sixty-four trillion, two hundred seventy-two billion, seven million, six hundred eighty-nine thousand, seven hundred twenty-eight".