864848793600 has 780 divisors, whose sum is σ = 3495212408160. Its totient is φ = 209638195200.

The previous prime is 864848793581. The next prime is 864848793619. The reversal of 864848793600 is 6397848468.

864848793600 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 487 + 93 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (864848793581) and next prime (864848793619).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91233661 + ... + 91243139.

Almost surely, 2^864848793600 is an apocalyptic number.

864848793600 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 864848793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747606204080).

864848793600 is an abundant number, since it is smaller than the sum of its proper divisors (2630363614560).

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

864848793600 is a wasteful number, since it uses less digits than its factorization.

864848793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 864848793600 in words is "eight hundred sixty-four billion, eight hundred forty-eight million, seven hundred ninety-three thousand, six hundred".