464163360960 has 224 divisors, whose sum is σ = 1594021947840. Its totient is φ = 113755963392.

The previous prime is 464163360959. The next prime is 464163360971. The reversal of 464163360960 is 69063361464.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2776714 + ... + 2939126.

It is an arithmetic number, because the mean of its divisors is an integer number (7116169410).

Almost surely, 2^464163360960 is an apocalyptic number.

464163360960 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 464163360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797010973920).

464163360960 is an abundant number, since it is smaller than the sum of its proper divisors (1129858586880).

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

464163360960 is a wasteful number, since it uses less digits than its factorization.

464163360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162675 (or 162665 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 464163360960 in words is "four hundred sixty-four billion, one hundred sixty-three million, three hundred sixty thousand, nine hundred sixty".