76249229328 has 90 divisors (see below), whose sum is σ = 225984899322. Its totient is φ = 23917040640.

The previous prime is 76249229293. The next prime is 76249229347. The reversal of 76249229328 is 82392294267.

76249229328 is a `hidden beast` number, since 7 + 62 + 492 + 2 + 93 + 2 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8996143104 + 67253086224 = 94848^2 + 259332^2 .

It is a super-2 number, since 2×76249229328² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13659498 + ... + 13665078.

Almost surely, 2^76249229328 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 76249229328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112992449661).

76249229328 is an abundant number, since it is smaller than the sum of its proper divisors (149735669994).

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

76249229328 is an equidigital number, since it uses as much as digits as its factorization.

76249229328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11193 (or 5603 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 76249229328 in words is "seventy-six billion, two hundred forty-nine million, two hundred twenty-nine thousand, three hundred twenty-eight".