8742297600000 has 2040 divisors, whose sum is σ = 35681795968896. Its totient is φ = 2123366400000.

The previous prime is 8742297599963. The next prime is 8742297600011. The reversal of 8742297600000 is 67922478.

8742297600000 is a `hidden beast` number, since 87 + 422 + 97 + 60 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 282009599985 + ... + 282009600015.

Almost surely, 2^{8742297600000} is an apocalyptic number.

8742297600000 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 8742297600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17840897984448).

8742297600000 is an abundant number, since it is smaller than the sum of its proper divisors (26939498368896).

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

8742297600000 is an frugal number, since it uses more digits than its factorization.

8742297600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 8742297600000 in words is "eight trillion, seven hundred forty-two billion, two hundred ninety-seven million, six hundred thousand".