76424002248 has 256 divisors, whose sum is σ = 225304934400. Its totient is φ = 21343703040.

The previous prime is 76424002243. The next prime is 76424002253. The reversal of 76424002248 is 84220042467.

It is an interprime number because it is at equal distance from previous prime (76424002243) and next prime (76424002253).

It is not an unprimeable number, because it can be changed into a prime (76424002243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105122061 + ... + 105122787.

It is an arithmetic number, because the mean of its divisors is an integer number (880097400).

Almost surely, 2^76424002248 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 76424002248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112652467200).

76424002248 is an abundant number, since it is smaller than the sum of its proper divisors (148880932152).

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

76424002248 is a wasteful number, since it uses less digits than its factorization.

76424002248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 76424002248 in words is "seventy-six billion, four hundred twenty-four million, two thousand, two hundred forty-eight".