7669632000 has 176 divisors, whose sum is σ = 25513349472. Its totient is φ = 2045132800.

The previous prime is 7669631999. The next prime is 7669632007. The reversal of 7669632000 is 2369667.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7669632000.

It is not an unprimeable number, because it can be changed into a prime (7669632007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374014 + ... + 393986.

Almost surely, 2^7669632000 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 7669632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756674736).

7669632000 is an abundant number, since it is smaller than the sum of its proper divisors (17843717472).

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

7669632000 is a wasteful number, since it uses less digits than its factorization.

7669632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011 (or 19983 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 7669632000 is about 87576.4351866414. The cubic root of 7669632000 is about 1972.0814232913.

The spelling of 7669632000 in words is "seven billion, six hundred sixty-nine million, six hundred thirty-two thousand".