7842826992 has 640 divisors, whose sum is σ = 29278126080. Its totient is φ = 1756339200.

The previous prime is 7842826967. The next prime is 7842826997. The reversal of 7842826992 is 2996282487.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (6967296) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842826997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110462317 + ... + 110462387.

It is an arithmetic number, because the mean of its divisors is an integer number (45747072).

Almost surely, 2^7842826992 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 7842826992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639063040).

7842826992 is an abundant number, since it is smaller than the sum of its proper divisors (21435299088).

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

7842826992 is a wasteful number, since it uses less digits than its factorization.

7842826992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 7842826992 is about 88559.7368559776. The cubic root of 7842826992 is about 1986.8155251331.

The spelling of 7842826992 in words is "seven billion, eight hundred forty-two million, eight hundred twenty-six thousand, nine hundred ninety-two".