464669313870800 has 30 divisors (see below), whose sum is σ = 1116368026575558. Its totient is φ = 185867725548160.

The previous prime is 464669313870787. The next prime is 464669313870803. The reversal of 464669313870800 is 8078313966464.

It can be written as a sum of positive squares in 3 ways, for example, as 109572073358224 + 355097240512576 = 10467668^2 + 18844024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464669313870803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 580836641939 + ... + 580836642738.

Almost surely, 2^{464669313870800} is an apocalyptic number.

464669313870800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464669313870800 is an abundant number, since it is smaller than the sum of its proper divisors (651698712704758).

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

464669313870800 is a wasteful number, since it uses less digits than its factorization.

464669313870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161673284695 (or 1161673284684 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 65.

The spelling of 464669313870800 in words is "four hundred sixty-four trillion, six hundred sixty-nine billion, three hundred thirteen million, eight hundred seventy thousand, eight hundred".