7869913128 has 384 divisors, whose sum is σ = 28957824000. Its totient is φ = 1954592640.

The previous prime is 7869913111. The next prime is 7869913153. The reversal of 7869913128 is 8213199687.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2676283 + ... + 2679221.

It is an arithmetic number, because the mean of its divisors is an integer number (75411000).

Almost surely, 2^7869913128 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 7869913128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912000).

7869913128 is an abundant number, since it is smaller than the sum of its proper divisors (21087910872).

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

7869913128 is a wasteful number, since it uses less digits than its factorization.

7869913128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2985 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 7869913128 is about 88712.5308397861. The cubic root of 7869913128 is about 1989.1001316839.

The spelling of 7869913128 in words is "seven billion, eight hundred sixty-nine million, nine hundred thirteen thousand, one hundred twenty-eight".