7668891216 has 480 divisors, whose sum is σ = 27510917760. Its totient is φ = 2032128000.

The previous prime is 7668891151. The next prime is 7668891227. The reversal of 7668891216 is 6121988667.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36345351 + ... + 36345561.

It is an arithmetic number, because the mean of its divisors is an integer number (57314412).

Almost surely, 2^7668891216 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 7668891216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755458880).

7668891216 is an abundant number, since it is smaller than the sum of its proper divisors (19842026544).

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

7668891216 is a wasteful number, since it uses less digits than its factorization.

7668891216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 7668891216 is about 87572.2057276166. The cubic root of 7668891216 is about 1972.0179290063.

The spelling of 7668891216 in words is "seven billion, six hundred sixty-eight million, eight hundred ninety-one thousand, two hundred sixteen".