8671370400 has 432 divisors, whose sum is σ = 38124934848. Its totient is φ = 1801728000.

The previous prime is 8671370371. The next prime is 8671370419. The reversal of 8671370400 is 40731768.

It is a super-2 number, since 2×8671370400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546580 + ... + 562220.

It is an arithmetic number, because the mean of its divisors is an integer number (88252164).

Almost surely, 2^8671370400 is an apocalyptic number.

8671370400 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 8671370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19062467424).

8671370400 is an abundant number, since it is smaller than the sum of its proper divisors (29453564448).

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

8671370400 is a wasteful number, since it uses less digits than its factorization.

8671370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15685 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 8671370400 is about 93120.1932987684. The cubic root of 8671370400 is about 2054.4515914563.

The spelling of 8671370400 in words is "eight billion, six hundred seventy-one million, three hundred seventy thousand, four hundred".