464075440512 has 128 divisors (see below), whose sum is σ = 1240163654400. Its totient is φ = 153756825600.

The previous prime is 464075440483. The next prime is 464075440573. The reversal of 464075440512 is 215044570464.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99777387 + ... + 99782037.

It is an arithmetic number, because the mean of its divisors is an integer number (9688778550).

Almost surely, 2^464075440512 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 464075440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620081827200).

464075440512 is an abundant number, since it is smaller than the sum of its proper divisors (776088213888).

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

464075440512 is a wasteful number, since it uses less digits than its factorization.

464075440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 464075440512 in words is "four hundred sixty-four billion, seventy-five million, four hundred forty thousand, five hundred twelve".