8521682400 has 864 divisors, whose sum is σ = 39484972800. Its totient is φ = 1675468800.

The previous prime is 8521682383. The next prime is 8521682431. The reversal of 8521682400 is 42861258.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10533196 + ... + 10534004.

It is an arithmetic number, because the mean of its divisors is an integer number (45700200).

Almost surely, 2^8521682400 is an apocalyptic number.

8521682400 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 8521682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742486400).

8521682400 is an abundant number, since it is smaller than the sum of its proper divisors (30963290400).

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

8521682400 is a wasteful number, since it uses less digits than its factorization.

8521682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8521682400 is about 92312.9590035982. The cubic root of 8521682400 is about 2042.5613731997.

The spelling of 8521682400 in words is "eight billion, five hundred twenty-one million, six hundred eighty-two thousand, four hundred".