76426374528 has 320 divisors, whose sum is σ = 261136972800. Its totient is φ = 21735226368.

The previous prime is 76426374517. The next prime is 76426374529. The reversal of 76426374528 is 82547362467.

76426374528 is a `hidden beast` number, since 7 + 6 + 42 + 6 + 3 + 74 + 528 = 666.

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 (76426374529) 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 39 ways as a sum of consecutive naturals, for example, 16472433 + ... + 16477071.

It is an arithmetic number, because the mean of its divisors is an integer number (816053040).

Almost surely, 2^76426374528 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 76426374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130568486400).

76426374528 is an abundant number, since it is smaller than the sum of its proper divisors (184710598272).

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

76426374528 is a wasteful number, since it uses less digits than its factorization.

76426374528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4878 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 76426374528 in words is "seventy-six billion, four hundred twenty-six million, three hundred seventy-four thousand, five hundred twenty-eight".