7842292128 has 192 divisors, whose sum is σ = 25425187200. Its totient is φ = 2331463680.

The previous prime is 7842292127. The next prime is 7842292147. The reversal of 7842292128 is 8212922487.

It is a happy number.

7842292128 is a `hidden beast` number, since 7 + 8 + 422 + 9 + 212 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7842292121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495928 + ... + 511496.

It is an arithmetic number, because the mean of its divisors is an integer number (132422850).

Almost surely, 2^7842292128 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 7842292128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12712593600).

7842292128 is an abundant number, since it is smaller than the sum of its proper divisors (17582895072).

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

7842292128 is a wasteful number, since it uses less digits than its factorization.

7842292128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15652 (or 15638 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 7842292128 is about 88556.7170123193. The cubic root of 7842292128 is about 1986.7703585854.

The spelling of 7842292128 in words is "seven billion, eight hundred forty-two million, two hundred ninety-two thousand, one hundred twenty-eight".