8734506100800 has 168 divisors, whose sum is σ = 28694628342912. Its totient is φ = 2326099200000.

The previous prime is 8734506100799. The next prime is 8734506100927. The reversal of 8734506100800 is 80016054378.

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 23 ways as a sum of consecutive naturals, for example, 2393290 + ... + 4816310.

It is an arithmetic number, because the mean of its divisors is an integer number (170801359184).

Almost surely, 2^{8734506100800} is an apocalyptic number.

8734506100800 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 8734506100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347314171456).

8734506100800 is an abundant number, since it is smaller than the sum of its proper divisors (19960122242112).

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

8734506100800 is a wasteful number, since it uses less digits than its factorization.

8734506100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423797 (or 2423782 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 8734506100800 in words is "eight trillion, seven hundred thirty-four billion, five hundred six million, one hundred thousand, eight hundred".