8275046400 has 624 divisors, whose sum is σ = 31567458720. Its totient is φ = 2123366400.

The previous prime is 8275046393. The next prime is 8275046419. The reversal of 8275046400 is 46405728.

8275046400 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 0 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113356764 + ... + 113356836.

Almost surely, 2^8275046400 is an apocalyptic number.

8275046400 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 8275046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783729360).

8275046400 is an abundant number, since it is smaller than the sum of its proper divisors (23292412320).

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

8275046400 is a wasteful number, since it uses less digits than its factorization.

8275046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8275046400 is about 90967.2820304092. The cubic root of 8275046400 is about 2022.6627629532.

The spelling of 8275046400 in words is "eight billion, two hundred seventy-five million, forty-six thousand, four hundred".