464180830464 has 144 divisors (see below), whose sum is σ = 1332595611200. Its totient is φ = 142592237568.

The previous prime is 464180830423. The next prime is 464180830469. The reversal of 464180830464 is 464038081464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (464180830469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6142542 + ... + 6217650.

Almost surely, 2^464180830464 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 464180830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666297805600).

464180830464 is an abundant number, since it is smaller than the sum of its proper divisors (868414780736).

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

464180830464 is a wasteful number, since it uses less digits than its factorization.

464180830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75760 (or 75746 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 464180830464 in words is "four hundred sixty-four billion, one hundred eighty million, eight hundred thirty thousand, four hundred sixty-four".