867464464768 has 96 divisors (see below), whose sum is σ = 1901228232960. Its totient is φ = 393951360000.

The previous prime is 867464464747. The next prime is 867464464781.

867464464768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 867464464697 and 867464464706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17802358 + ... + 17851018.

It is an arithmetic number, because the mean of its divisors is an integer number (19804460760).

Almost surely, 2^867464464768 is an apocalyptic number.

867464464768 is a gapful number since it is divisible by the number (88) 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 867464464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950614116480).

867464464768 is an abundant number, since it is smaller than the sum of its proper divisors (1033763768192).

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

867464464768 is a wasteful number, since it uses less digits than its factorization.

867464464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49848 (or 49825 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 70.

The spelling of 867464464768 in words is "eight hundred sixty-seven billion, four hundred sixty-four million, four hundred sixty-four thousand, seven hundred sixty-eight".