76032000000 has 840 divisors, whose sum is σ = 307186692960. Its totient is φ = 18432000000.

The previous prime is 76031999963. The next prime is 76032000007. The reversal of 76032000000 is 23067.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (76032000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6911999995 + ... + 6912000005.

It is an arithmetic number, because the mean of its divisors is an integer number (365698444).

Almost surely, 2^76032000000 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 76032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153593346480).

76032000000 is an abundant number, since it is smaller than the sum of its proper divisors (231154692960).

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

76032000000 is an frugal number, since it uses more digits than its factorization.

76032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 76032000000 its reverse (23067), we get a palindrome (76032023067).

The spelling of 76032000000 in words is "seventy-six billion, thirty-two million", and thus it is an aban number and an uban number.