464564356992 has 320 divisors, whose sum is σ = 1451114105760. Its totient is φ = 147252695040.

The previous prime is 464564356981. The next prime is 464564357003. The reversal of 464564356992 is 299653465464.

464564356992 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 64 + 3 + 569 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (464564356981) and next prime (464564357003).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41248642 + ... + 41259902.

Almost surely, 2^464564356992 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 464564356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725557052880).

464564356992 is an abundant number, since it is smaller than the sum of its proper divisors (986549748768).

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

464564356992 is a wasteful number, since it uses less digits than its factorization.

464564356992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11483 (or 11462 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 63.

The spelling of 464564356992 in words is "four hundred sixty-four billion, five hundred sixty-four million, three hundred fifty-six thousand, nine hundred ninety-two".