8542713600 has 378 divisors, whose sum is σ = 31719638216. Its totient is φ = 2276812800.

The previous prime is 8542713589. The next prime is 8542713607. The reversal of 8542713600 is 63172458.

8542713600 is a `hidden beast` number, since 8 + 5 + 42 + 7 + 1 + 3 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8542713607) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 4664685 + ... + 4666515.

Almost surely, 2^8542713600 is an apocalyptic number.

8542713600 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 8542713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859819108).

8542713600 is an abundant number, since it is smaller than the sum of its proper divisors (23176924616).

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

8542713600 is an equidigital number, since it uses as much as digits as its factorization.

8542713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8542713600 is about 92426.8013078458. The cubic root of 8542713600 is about 2044.2403149829.

The spelling of 8542713600 in words is "eight billion, five hundred forty-two million, seven hundred thirteen thousand, six hundred".