464362674720 has 768 divisors, whose sum is σ = 1809174528000. Its totient is φ = 99899412480.

The previous prime is 464362674709. The next prime is 464362674733. The reversal of 464362674720 is 27476263464.

It is a super-2 number, since 2×464362674720² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188840851 + ... + 188843309.

It is an arithmetic number, because the mean of its divisors is an integer number (2355696000).

Almost surely, 2^464362674720 is an apocalyptic number.

464362674720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464362674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904587264000).

464362674720 is an abundant number, since it is smaller than the sum of its proper divisors (1344811853280).

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

464362674720 is a wasteful number, since it uses less digits than its factorization.

464362674720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 51.

The spelling of 464362674720 in words is "four hundred sixty-four billion, three hundred sixty-two million, six hundred seventy-four thousand, seven hundred twenty".