8375076864 has 576 divisors, whose sum is σ = 31595054400. Its totient is φ = 2167603200.

The previous prime is 8375076863. The next prime is 8375076869. The reversal of 8375076864 is 4686705738.

It is a tau number, because it is divible by the number of its divisors (576).

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 8375076864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8375076863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29804404 + ... + 29804684.

It is an arithmetic number, because the mean of its divisors is an integer number (54852525).

Almost surely, 2^8375076864 is an apocalyptic number.

8375076864 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 8375076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797527200).

8375076864 is an abundant number, since it is smaller than the sum of its proper divisors (23219977536).

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

8375076864 is a wasteful number, since it uses less digits than its factorization.

8375076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 8375076864 is about 91515.4460405455. The cubic root of 8375076864 is about 2030.7802628771.

The spelling of 8375076864 in words is "eight billion, three hundred seventy-five million, seventy-six thousand, eight hundred sixty-four".