8865400320 has 640 divisors, whose sum is σ = 36627655680. Its totient is φ = 1990656000.

The previous prime is 8865400307. The next prime is 8865400331. The reversal of 8865400320 is 230045688.

8865400320 is a `hidden beast` number, since 8 + 86 + 540 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×8865400320² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 35320195 + ... + 35320445.

It is an arithmetic number, because the mean of its divisors is an integer number (57230712).

Almost surely, 2^8865400320 is an apocalyptic number.

8865400320 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 8865400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313827840).

8865400320 is an abundant number, since it is smaller than the sum of its proper divisors (27762255360).

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

8865400320 is a wasteful number, since it uses less digits than its factorization.

8865400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8865400320 is about 94156.2548108197. The cubic root of 8865400320 is about 2069.6621166634.

The spelling of 8865400320 in words is "eight billion, eight hundred sixty-five million, four hundred thousand, three hundred twenty".