76349911321920 has 224 divisors, whose sum is σ = 242795170471680. Its totient is φ = 20327720878080.

The previous prime is 76349911321891. The next prime is 76349911321921. The reversal of 76349911321920 is 2912311994367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76349911321921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3766821546 + ... + 3766841814.

Almost surely, 2^{76349911321920} 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 76349911321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121397585235840).

76349911321920 is an abundant number, since it is smaller than the sum of its proper divisors (166445259149760).

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

76349911321920 is a wasteful number, since it uses less digits than its factorization.

76349911321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26313 (or 26303 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 76349911321920 in words is "seventy-six trillion, three hundred forty-nine billion, nine hundred eleven million, three hundred twenty-one thousand, nine hundred twenty".