7687992312 has 768 divisors, whose sum is σ = 30428697600. Its totient is φ = 1735603200.

The previous prime is 7687992289. The next prime is 7687992359. The reversal of 7687992312 is 2132997867.

It is a super-2 number, since 2×7687992312² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207783558 + ... + 207783594.

It is an arithmetic number, because the mean of its divisors is an integer number (39620700).

Almost surely, 2^7687992312 is an apocalyptic number.

7687992312 is a gapful number since it is divisible by the number (72) 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 7687992312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214348800).

7687992312 is an abundant number, since it is smaller than the sum of its proper divisors (22740705288).

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

7687992312 is a wasteful number, since it uses less digits than its factorization.

7687992312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 7687992312 is about 87681.1970265005. The cubic root of 7687992312 is about 1973.6538227587.

It can be divided in two parts, 7687 and 992312, that added together give a palindrome (999999).

The spelling of 7687992312 in words is "seven billion, six hundred eighty-seven million, nine hundred ninety-two thousand, three hundred twelve".