7742124888 has 64 divisors (see below), whose sum is σ = 19830666240. Its totient is φ = 2517481344.

The previous prime is 7742124881. The next prime is 7742124889. The reversal of 7742124888 is 8884212477.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7742124888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7742124881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886270 + ... + 894962.

It is an arithmetic number, because the mean of its divisors is an integer number (309854160).

Almost surely, 2^7742124888 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 7742124888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9915333120).

7742124888 is an abundant number, since it is smaller than the sum of its proper divisors (12088541352).

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

7742124888 is a wasteful number, since it uses less digits than its factorization.

7742124888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9608 (or 9604 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 51.

The square root of 7742124888 is about 87989.3453095317. The cubic root of 7742124888 is about 1978.2752800443.

The spelling of 7742124888 in words is "seven billion, seven hundred forty-two million, one hundred twenty-four thousand, eight hundred eighty-eight".