76322736336 has 360 divisors, whose sum is σ = 253405780992. Its totient is φ = 19721856000.

The previous prime is 76322736319. The next prime is 76322736353. The reversal of 76322736336 is 63363722367.

It is an interprime number because it is at equal distance from previous prime (76322736319) and next prime (76322736353).

It is a super-3 number, since 3×76322736336³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66309361 + ... + 66310511.

Almost surely, 2^76322736336 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 76322736336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126702890496).

76322736336 is an abundant number, since it is smaller than the sum of its proper divisors (177083044656).

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

76322736336 is a wasteful number, since it uses less digits than its factorization.

76322736336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1407 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 48.

The spelling of 76322736336 in words is "seventy-six billion, three hundred twenty-two million, seven hundred thirty-six thousand, three hundred thirty-six".