76454674668 has 288 divisors, whose sum is σ = 221405184000. Its totient is φ = 22115358720.

The previous prime is 76454674631. The next prime is 76454674669. The reversal of 76454674668 is 86647645467.

It is a happy number.

76454674668 is a `hidden beast` number, since 7 + 64 + 54 + 67 + 466 + 8 = 666.

Its product of digits (162570240) is a multiple of the sum of its prime divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (76454674669) by changing a digit.

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, 43463973 + ... + 43465731.

It is an arithmetic number, because the mean of its divisors is an integer number (768768000).

Almost surely, 2^76454674668 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 76454674668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592000).

76454674668 is an abundant number, since it is smaller than the sum of its proper divisors (144950509332).

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

76454674668 is a wasteful number, since it uses less digits than its factorization.

76454674668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1920 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 76454674668 in words is "seventy-six billion, four hundred fifty-four million, six hundred seventy-four thousand, six hundred sixty-eight".