468615733760 has 160 divisors (see below), whose sum is σ = 1199703035520. Its totient is φ = 175125823488.

The previous prime is 468615733739. The next prime is 468615733799. The reversal of 468615733760 is 67337516864.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 468615733696 and 468615733705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439296 + ... + 2624384.

It is an arithmetic number, because the mean of its divisors is an integer number (7498143972).

Almost surely, 2^468615733760 is an apocalyptic number.

468615733760 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 468615733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599851517760).

468615733760 is an abundant number, since it is smaller than the sum of its proper divisors (731087301760).

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

468615733760 is a wasteful number, since it uses less digits than its factorization.

468615733760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185178 (or 185162 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 468615733760 in words is "four hundred sixty-eight billion, six hundred fifteen million, seven hundred thirty-three thousand, seven hundred sixty".