7696829952 has 200 divisors, whose sum is σ = 26255859696. Its totient is φ = 2199011328.

The previous prime is 7696829929. The next prime is 7696829981. The reversal of 7696829952 is 2599286967.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7696829952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277048 + ... + 303560.

Almost surely, 2^7696829952 is an apocalyptic number.

7696829952 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 7696829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127929848).

7696829952 is an abundant number, since it is smaller than the sum of its proper divisors (18559029744).

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

7696829952 is an equidigital number, since it uses as much as digits as its factorization.

7696829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26550 (or 26525 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 7696829952 is about 87731.5789895520. The cubic root of 7696829952 is about 1974.4097965745.

The spelling of 7696829952 in words is "seven billion, six hundred ninety-six million, eight hundred twenty-nine thousand, nine hundred fifty-two".