8375648400 has 1200 divisors, whose sum is σ = 38761358400. Its totient is φ = 1706987520.

The previous prime is 8375648363. The next prime is 8375648461. The reversal of 8375648400 is 48465738.

8375648400 is a `hidden beast` number, since 8 + 3 + 7 + 564 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×8375648400² (a number of 21 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 440823591 + ... + 440823609.

It is an arithmetic number, because the mean of its divisors is an integer number (32301132).

Almost surely, 2^8375648400 is an apocalyptic number.

8375648400 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 8375648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380679200).

8375648400 is an abundant number, since it is smaller than the sum of its proper divisors (30385710000).

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

8375648400 is a wasteful number, since it uses less digits than its factorization.

8375648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8375648400 is about 91518.5686076875. The cubic root of 8375648400 is about 2030.8264569856.

The spelling of 8375648400 in words is "eight billion, three hundred seventy-five million, six hundred forty-eight thousand, four hundred".