8375738400 has 432 divisors, whose sum is σ = 30798278784. Its totient is φ = 2140170240.

The previous prime is 8375738389. The next prime is 8375738461. The reversal of 8375738400 is 48375738.

8375738400 is a `hidden beast` number, since 8 + 37 + 573 + 8 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 17934967 + ... + 17935433.

It is an arithmetic number, because the mean of its divisors is an integer number (71292312).

Almost surely, 2^8375738400 is an apocalyptic number.

8375738400 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 8375738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399139392).

8375738400 is an abundant number, since it is smaller than the sum of its proper divisors (22422540384).

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

8375738400 is a wasteful number, since it uses less digits than its factorization.

8375738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8375738400 is about 91519.0603098611. The cubic root of 8375738400 is about 2030.8337309986.

The spelling of 8375738400 in words is "eight billion, three hundred seventy-five million, seven hundred thirty-eight thousand, four hundred".