864294520320 has 3600 divisors, whose sum is σ = 4279099088880. Its totient is φ = 165542952960.

The previous prime is 864294520319. The next prime is 864294520333. The reversal of 864294520320 is 23025492468.

864294520320 is a `hidden beast` number, since 8 + 6 + 4 + 2 + 94 + 520 + 32 + 0 = 666.

864294520320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 23359311342 + ... + 23359311378.

Almost surely, 2^864294520320 is an apocalyptic number.

864294520320 is a gapful number since it is divisible by the number (80) 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 864294520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139549544440).

864294520320 is an abundant number, since it is smaller than the sum of its proper divisors (3414804568560).

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

864294520320 is a wasteful number, since it uses less digits than its factorization.

864294520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 864294520320 in words is "eight hundred sixty-four billion, two hundred ninety-four million, five hundred twenty thousand, three hundred twenty".