8497372800 has 384 divisors, whose sum is σ = 33026457600. Its totient is φ = 1879142400.

The previous prime is 8497372787. The next prime is 8497372813. The reversal of 8497372800 is 82737948.

It is an interprime number because it is at equal distance from previous prime (8497372787) and next prime (8497372813).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8497372800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2081161 + ... + 2085239.

It is an arithmetic number, because the mean of its divisors is an integer number (86006400).

Almost surely, 2^8497372800 is an apocalyptic number.

8497372800 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 8497372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513228800).

8497372800 is an abundant number, since it is smaller than the sum of its proper divisors (24529084800).

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

8497372800 is a wasteful number, since it uses less digits than its factorization.

8497372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 8497372800 is about 92181.1954793384. The cubic root of 8497372800 is about 2040.6172680318.

The spelling of 8497372800 in words is "eight billion, four hundred ninety-seven million, three hundred seventy-two thousand, eight hundred".