8537944800 has 576 divisors, whose sum is σ = 35421732864. Its totient is φ = 1734604800.

The previous prime is 8537944787. The next prime is 8537944813. The reversal of 8537944800 is 84497358.

It is a Cunningham number, because it is equal to 92401²-1.

It is an interprime number because it is at equal distance from previous prime (8537944787) and next prime (8537944813).

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 8537944800.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8685109 + ... + 8686091.

It is an arithmetic number, because the mean of its divisors is an integer number (61496064).

Almost surely, 2^8537944800 is an apocalyptic number.

8537944800 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 8537944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17710866432).

8537944800 is an abundant number, since it is smaller than the sum of its proper divisors (26883788064).

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

8537944800 is a wasteful number, since it uses less digits than its factorization.

8537944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 8537944800 is about 92400.9999945888. Note that the first 5 decimals coincide. The cubic root of 8537944800 is about 2043.8598586776.

The spelling of 8537944800 in words is "eight billion, five hundred thirty-seven million, nine hundred forty-four thousand, eight hundred".