76428054306 has 96 divisors (see below), whose sum is σ = 181527091200. Its totient is φ = 24033497040.

The previous prime is 76428054301. The next prime is 76428054349. The reversal of 76428054306 is 60345082467.

76428054306 is a `hidden beast` number, since 7 + 64 + 280 + 5 + 4 + 306 = 666.

It is not an unprimeable number, because it can be changed into a prime (76428054301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189611 + ... + 2224241.

It is an arithmetic number, because the mean of its divisors is an integer number (1890907200).

Almost surely, 2^76428054306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76428054306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90763545600).

76428054306 is an abundant number, since it is smaller than the sum of its proper divisors (105099036894).

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

76428054306 is a wasteful number, since it uses less digits than its factorization.

76428054306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34906 (or 34894 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 76428054306 in words is "seventy-six billion, four hundred twenty-eight million, fifty-four thousand, three hundred six".