8172460800 has 324 divisors, whose sum is σ = 33394095280. Its totient is φ = 1867898880.

The previous prime is 8172460783. The next prime is 8172460817. The reversal of 8172460800 is 80642718.

It is an interprime number because it is at equal distance from previous prime (8172460783) and next prime (8172460817).

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 393066 + ... + 413334.

Almost surely, 2^8172460800 is an apocalyptic number.

8172460800 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 8172460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16697047640).

8172460800 is an abundant number, since it is smaller than the sum of its proper divisors (25221634480).

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

8172460800 is a wasteful number, since it uses less digits than its factorization.

8172460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20308 (or 20286 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8172460800 is about 90401.6637015050. The cubic root of 8172460800 is about 2014.2696793222.

The spelling of 8172460800 in words is "eight billion, one hundred seventy-two million, four hundred sixty thousand, eight hundred".