864063360468 has 1728 divisors, whose sum is σ = 3260436480000. Its totient is φ = 196151155200.

The previous prime is 864063360409. The next prime is 864063360509.

864063360468 is a `hidden beast` number, since 8 + 64 + 0 + 63 + 3 + 60 + 468 = 666.

864063360468 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10937510853 + ... + 10937510931.

Almost surely, 2^864063360468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864063360468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630218240000).

864063360468 is an abundant number, since it is smaller than the sum of its proper divisors (2396373119532).

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

864063360468 is a wasteful number, since it uses less digits than its factorization.

864063360468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 864063360468 in words is "eight hundred sixty-four billion, sixty-three million, three hundred sixty thousand, four hundred sixty-eight".