8235972864 has 864 divisors, whose sum is σ = 32128409600. Its totient is φ = 2030469120.

The previous prime is 8235972853. The next prime is 8235972919. The reversal of 8235972864 is 4682795328.

8235972864 is a `hidden beast` number, since 8 + 2 + 359 + 7 + 286 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8235972864.

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 95 ways as a sum of consecutive naturals, for example, 265676529 + ... + 265676559.

Almost surely, 2^8235972864 is an apocalyptic number.

8235972864 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 8235972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064204800).

8235972864 is an abundant number, since it is smaller than the sum of its proper divisors (23892436736).

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

8235972864 is a wasteful number, since it uses less digits than its factorization.

8235972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 8235972864 is about 90752.2609305135. The cubic root of 8235972864 is about 2019.4741682647.

The spelling of 8235972864 in words is "eight billion, two hundred thirty-five million, nine hundred seventy-two thousand, eight hundred sixty-four".