8142747200 has 168 divisors, whose sum is σ = 23023324032. Its totient is φ = 2776596480.

The previous prime is 8142747169. The next prime is 8142747203. The reversal of 8142747200 is 27472418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (8142747203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2159717 + ... + 2163483.

Almost surely, 2^8142747200 is an apocalyptic number.

8142747200 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 8142747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511662016).

8142747200 is an abundant number, since it is smaller than the sum of its proper divisors (14880576832).

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

8142747200 is a wasteful number, since it uses less digits than its factorization.

8142747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 8142747200 is about 90237.1719415009. The cubic root of 8142747200 is about 2011.8255404858.

The spelling of 8142747200 in words is "eight billion, one hundred forty-two million, seven hundred forty-seven thousand, two hundred".