464436798732 has 192 divisors, whose sum is σ = 1246870195200. Its totient is φ = 149417948160.

The previous prime is 464436798697. The next prime is 464436798737. The reversal of 464436798732 is 237897634464.

464436798732 is a `hidden beast` number, since 4 + 64 + 436 + 79 + 8 + 73 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 464436798732.

It is not an unprimeable number, because it can be changed into a prime (464436798737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379751473 + ... + 379752695.

It is an arithmetic number, because the mean of its divisors is an integer number (6494115600).

Almost surely, 2^464436798732 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 464436798732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623435097600).

464436798732 is an abundant number, since it is smaller than the sum of its proper divisors (782433396468).

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

464436798732 is a wasteful number, since it uses less digits than its factorization.

464436798732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 464436798732 in words is "four hundred sixty-four billion, four hundred thirty-six million, seven hundred ninety-eight thousand, seven hundred thirty-two".