864051819264 has 432 divisors, whose sum is σ = 2650436812800. Its totient is φ = 277639778304.

The previous prime is 864051819247. The next prime is 864051819307. The reversal of 864051819264 is 462918150468.

864051819264 is a `hidden beast` number, since 8 + 64 + 0 + 518 + 1 + 9 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 864051819264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1201740697 + ... + 1201741415.

It is an arithmetic number, because the mean of its divisors is an integer number (6135270400).

Almost surely, 2^864051819264 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 864051819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325218406400).

864051819264 is an abundant number, since it is smaller than the sum of its proper divisors (1786384993536).

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

864051819264 is a wasteful number, since it uses less digits than its factorization.

864051819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 864051819264 in words is "eight hundred sixty-four billion, fifty-one million, eight hundred nineteen thousand, two hundred sixty-four".