7837116768 has 180 divisors, whose sum is σ = 24959501028. Its totient is φ = 2411285760.

The previous prime is 7837116743. The next prime is 7837116799. The reversal of 7837116768 is 8676117387.

It is a super-2 number, since 2×7837116768² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 429103 + ... + 446993.

Almost surely, 2^7837116768 is an apocalyptic number.

7837116768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7837116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479750514).

7837116768 is an abundant number, since it is smaller than the sum of its proper divisors (17122384260).

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

7837116768 is a wasteful number, since it uses less digits than its factorization.

7837116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17939 (or 17909 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 7837116768 is about 88527.4915944194. The cubic root of 7837116768 is about 1986.3332196147. Note that the first 3 decimals are identical.

The spelling of 7837116768 in words is "seven billion, eight hundred thirty-seven million, one hundred sixteen thousand, seven hundred sixty-eight".