7668964224 has 128 divisors (see below), whose sum is σ = 23825568000. Its totient is φ = 2421757440.

The previous prime is 7668964223. The next prime is 7668964271. The reversal of 7668964224 is 4224698667.

7668964224 is a `hidden beast` number, since 76 + 68 + 96 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7668964223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7269 + ... + 124059.

It is an arithmetic number, because the mean of its divisors is an integer number (186137250).

Almost surely, 2^7668964224 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 7668964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912784000).

7668964224 is an abundant number, since it is smaller than the sum of its proper divisors (16156603776).

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

7668964224 is a wasteful number, since it uses less digits than its factorization.

7668964224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116833 (or 116815 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 7668964224 is about 87572.6225712123. The cubic root of 7668964224 is about 1972.0241868700.

The spelling of 7668964224 in words is "seven billion, six hundred sixty-eight million, nine hundred sixty-four thousand, two hundred twenty-four".