7868762144 has 48 divisors (see below), whose sum is σ = 16397297280. Its totient is φ = 3706663680.

The previous prime is 7868762141. The next prime is 7868762177. The reversal of 7868762144 is 4412678687.

It is not an unprimeable number, because it can be changed into a prime (7868762141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74297 + ... + 145799.

It is an arithmetic number, because the mean of its divisors is an integer number (341610360).

Almost surely, 2^7868762144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7868762144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198648640).

7868762144 is an abundant number, since it is smaller than the sum of its proper divisors (8528535136).

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

7868762144 is a wasteful number, since it uses less digits than its factorization.

7868762144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71713 (or 71705 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 53.

The square root of 7868762144 is about 88706.0434468813. The cubic root of 7868762144 is about 1989.0031575492.

The spelling of 7868762144 in words is "seven billion, eight hundred sixty-eight million, seven hundred sixty-two thousand, one hundred forty-four".