7668906336 has 720 divisors, whose sum is σ = 29060827488. Its totient is φ = 1940889600.

The previous prime is 7668906319. The next prime is 7668906379. The reversal of 7668906336 is 6336098667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125719746 + ... + 125719806.

Almost surely, 2^7668906336 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 7668906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530413744).

7668906336 is an abundant number, since it is smaller than the sum of its proper divisors (21391921152).

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

7668906336 is a wasteful number, since it uses less digits than its factorization.

7668906336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 7668906336 is about 87572.2920563348. The cubic root of 7668906336 is about 1972.0192250168.

The spelling of 7668906336 in words is "seven billion, six hundred sixty-eight million, nine hundred six thousand, three hundred thirty-six".