868299737760 has 2304 divisors, whose sum is σ = 3975330078720. Its totient is φ = 167692861440.

The previous prime is 868299737749. The next prime is 868299737849. The reversal of 868299737760 is 67737992868.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7966052586 + ... + 7966052694.

It is an arithmetic number, because the mean of its divisors is an integer number (1725403680).

Almost surely, 2^868299737760 is an apocalyptic number.

868299737760 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 868299737760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987665039360).

868299737760 is an abundant number, since it is smaller than the sum of its proper divisors (3107030340960).

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

868299737760 is a wasteful number, since it uses less digits than its factorization.

868299737760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 868299737760 in words is "eight hundred sixty-eight billion, two hundred ninety-nine million, seven hundred thirty-seven thousand, seven hundred sixty".