864087780468 has 96 divisors (see below), whose sum is σ = 2203829268480. Its totient is φ = 261329523840.

The previous prime is 864087780449. The next prime is 864087780497.

864087780468 is nontrivially palindromic in base 10.

864087780468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×864087780468² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 864087780399 and 864087780408.

It is a congruent number.

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, 171477493 + ... + 171482531.

It is an arithmetic number, because the mean of its divisors is an integer number (22956554880).

Almost surely, 2^864087780468 is an apocalyptic number.

It is an amenable number.

864087780468 is an abundant number, since it is smaller than the sum of its proper divisors (1339741488012).

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

864087780468 is a wasteful number, since it uses less digits than its factorization.

864087780468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 864087780468 in words is "eight hundred sixty-four billion, eighty-seven million, seven hundred eighty thousand, four hundred sixty-eight".