464123075472 has 640 divisors, whose sum is σ = 1675295948800. Its totient is φ = 121537013760.

The previous prime is 464123075467. The next prime is 464123075497. The reversal of 464123075472 is 274570321464.

464123075472 is a `hidden beast` number, since 4 + 64 + 12 + 30 + 7 + 547 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144270408 + ... + 144273624.

It is an arithmetic number, because the mean of its divisors is an integer number (2617649920).

Almost surely, 2^464123075472 is an apocalyptic number.

464123075472 is a gapful number since it is divisible by the number (42) 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 464123075472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837647974400).

464123075472 is an abundant number, since it is smaller than the sum of its proper divisors (1211172873328).

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

464123075472 is a wasteful number, since it uses less digits than its factorization.

464123075472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 464123075472 in words is "four hundred sixty-four billion, one hundred twenty-three million, seventy-five thousand, four hundred seventy-two".