76746738432 has 576 divisors, whose sum is σ = 260886348800. Its totient is φ = 19898597376.

The previous prime is 76746738413. The next prime is 76746738449. The reversal of 76746738432 is 23483764767.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249989223 + ... + 249989529.

Almost surely, 2^76746738432 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 76746738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130443174400).

76746738432 is an abundant number, since it is smaller than the sum of its proper divisors (184139610368).

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

76746738432 is a wasteful number, since it uses less digits than its factorization.

76746738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 405 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 57.

The spelling of 76746738432 in words is "seventy-six billion, seven hundred forty-six million, seven hundred thirty-eight thousand, four hundred thirty-two".