8375001223680 has 1440 divisors, whose sum is σ = 36838379161584. Its totient is φ = 1742604337152.

The previous prime is 8375001223679. The next prime is 8375001223739. The reversal of 8375001223680 is 863221005738.

8375001223680 is a `hidden beast` number, since 8 + 37 + 500 + 1 + 2 + 2 + 36 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 281476935936 + 8093524287744 = 530544^2 + 2844912^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1071379132 + ... + 1071386948.

Almost surely, 2^{8375001223680} is an apocalyptic number.

8375001223680 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 8375001223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419189580792).

8375001223680 is an abundant number, since it is smaller than the sum of its proper divisors (28463377937904).

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

8375001223680 is a wasteful number, since it uses less digits than its factorization.

8375001223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 8375001223680 in words is "eight trillion, three hundred seventy-five billion, one million, two hundred twenty-three thousand, six hundred eighty".