7689634000 has 80 divisors (see below), whose sum is σ = 18663961680. Its totient is φ = 3064204800.

The previous prime is 7689633977. The next prime is 7689634003. The reversal of 7689634000 is 4369867.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6838628416 + 851005584 = 82696^2 + 29172^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7689634003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530854 + ... + 545146.

It is an arithmetic number, because the mean of its divisors is an integer number (233299521).

Almost surely, 2^7689634000 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 7689634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331980840).

7689634000 is an abundant number, since it is smaller than the sum of its proper divisors (10974327680).

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

7689634000 is a wasteful number, since it uses less digits than its factorization.

7689634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 7689634000 is about 87690.5582146676. The cubic root of 7689634000 is about 1973.7942969364.

The spelling of 7689634000 in words is "seven billion, six hundred eighty-nine million, six hundred thirty-four thousand".