7689600000 has 528 divisors, whose sum is σ = 28784095200. Its totient is φ = 2027520000.

The previous prime is 7689599969. The next prime is 7689600031. The reversal of 7689600000 is 69867.

It is an interprime number because it is at equal distance from previous prime (7689599969) and next prime (7689600031).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86399956 + ... + 86400044.

Almost surely, 2^7689600000 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 7689600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392047600).

7689600000 is an abundant number, since it is smaller than the sum of its proper divisors (21094495200).

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

7689600000 is an frugal number, since it uses more digits than its factorization.

7689600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7689600000 is about 87690.3643509365. The cubic root of 7689600000 is about 1973.7913878640.

Adding to 7689600000 its reverse (69867), we get a palindrome (7689669867).

The spelling of 7689600000 in words is "seven billion, six hundred eighty-nine million, six hundred thousand".