864745598640 has 720 divisors, whose sum is σ = 3454548894720. Its totient is φ = 178277299200.

The previous prime is 864745598573. The next prime is 864745598659. The reversal of 864745598640 is 46895547468.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 186405441 + ... + 186410079.

It is an arithmetic number, because the mean of its divisors is an integer number (4797984576).

Almost surely, 2^864745598640 is an apocalyptic number.

864745598640 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 864745598640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727274447360).

864745598640 is an abundant number, since it is smaller than the sum of its proper divisors (2589803296080).

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

864745598640 is a wasteful number, since it uses less digits than its factorization.

864745598640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 864745598640 in words is "eight hundred sixty-four billion, seven hundred forty-five million, five hundred ninety-eight thousand, six hundred forty".