7683869952 has 504 divisors, whose sum is σ = 26541012960. Its totient is φ = 2194698240.

The previous prime is 7683869927. The next prime is 7683869981. The reversal of 7683869952 is 2599683867.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7683869952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 39004318 + ... + 39004514.

It is an arithmetic number, because the mean of its divisors is an integer number (52660740).

Almost surely, 2^7683869952 is an apocalyptic number.

7683869952 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 7683869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270506480).

7683869952 is an abundant number, since it is smaller than the sum of its proper divisors (18857143008).

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

7683869952 is a wasteful number, since it uses less digits than its factorization.

7683869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 7683869952 is about 87657.6862117635. The cubic root of 7683869952 is about 1973.3009969541.

The spelling of 7683869952 in words is "seven billion, six hundred eighty-three million, eight hundred sixty-nine thousand, nine hundred fifty-two".