8868372012864 has 1008 divisors, whose sum is σ = 32959626126336. Its totient is φ = 2257403904000.

The previous prime is 8868372012847. The next prime is 8868372012893. The reversal of 8868372012864 is 4682102738688.

8868372012864 is a `hidden beast` number, since 8 + 86 + 8 + 372 + 0 + 128 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5539269664 + ... + 5539271264.

It is an arithmetic number, because the mean of its divisors is an integer number (32698041792).

Almost surely, 2^{8868372012864} is an apocalyptic number.

8868372012864 is a gapful number since it is divisible by the number (84) 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 8868372012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479813063168).

8868372012864 is an abundant number, since it is smaller than the sum of its proper divisors (24091254113472).

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

8868372012864 is a wasteful number, since it uses less digits than its factorization.

8868372012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 8868372012864 in words is "eight trillion, eight hundred sixty-eight billion, three hundred seventy-two million, twelve thousand, eight hundred sixty-four".