7686679140 has 576 divisors, whose sum is σ = 29740677120. Its totient is φ = 1613364480.

The previous prime is 7686679073. The next prime is 7686679151. The reversal of 7686679140 is 419766867.

It is a happy number.

It is a super-2 number, since 2×7686679140² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58676875 + ... + 58677005.

It is an arithmetic number, because the mean of its divisors is an integer number (51633120).

Almost surely, 2^7686679140 is an apocalyptic number.

7686679140 is a gapful number since it is divisible by the number (70) 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 7686679140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870338560).

7686679140 is an abundant number, since it is smaller than the sum of its proper divisors (22053997980).

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

7686679140 is a wasteful number, since it uses less digits than its factorization.

7686679140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7686679140 is about 87673.7083737194. The cubic root of 7686679140 is about 1973.5414442855.

The spelling of 7686679140 in words is "seven billion, six hundred eighty-six million, six hundred seventy-nine thousand, one hundred forty".