76468034448 has 200 divisors, whose sum is σ = 250890886400. Its totient is φ = 22290183936.

The previous prime is 76468034413. The next prime is 76468034453. The reversal of 76468034448 is 84443086467.

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

It is a junction number, because it is equal to n+sod(n) for n = 76468034394 and 76468034403.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 200673 + ... + 439551.

It is an arithmetic number, because the mean of its divisors is an integer number (1254454432).

Almost surely, 2^76468034448 is an apocalyptic number.

76468034448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76468034448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125445443200).

76468034448 is an abundant number, since it is smaller than the sum of its proper divisors (174422851952).

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

76468034448 is a wasteful number, since it uses less digits than its factorization.

76468034448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238931 (or 238916 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 76468034448 in words is "seventy-six billion, four hundred sixty-eight million, thirty-four thousand, four hundred forty-eight".