464608076544 has 108 divisors (see below), whose sum is σ = 1341181842000. Its totient is φ = 154684127232.

The previous prime is 464608076531. The next prime is 464608076549. The reversal of 464608076544 is 445670806464.

It is a happy number.

464608076544 is a `hidden beast` number, since 4 + 6 + 460 + 80 + 7 + 65 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (464608076549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1812882 + ... + 2053230.

Almost surely, 2^464608076544 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 464608076544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670590921000).

464608076544 is an abundant number, since it is smaller than the sum of its proper divisors (876573765456).

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

464608076544 is a wasteful number, since it uses less digits than its factorization.

464608076544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241210 (or 241193 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 464608076544 in words is "four hundred sixty-four billion, six hundred eight million, seventy-six thousand, five hundred forty-four".