76383314219520 has 5120 divisors, whose sum is σ = 379694440857600. Its totient is φ = 14066877726720.

The previous prime is 76383314219501. The next prime is 76383314219551. The reversal of 76383314219520 is 2591241338367.

76383314219520 is a `hidden beast` number, since 7 + 6 + 3 + 83 + 3 + 14 + 21 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 511 ways as a sum of consecutive naturals, for example, 112826165422 + ... + 112826166098.

It is an arithmetic number, because the mean of its divisors is an integer number (74159070480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅76383314219520 = 152766628439040, but 3⋅76383314219520 = 229149942658560 is not.

Almost surely, 2^{76383314219520} is an apocalyptic number.

76383314219520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76383314219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189847220428800).

76383314219520 is an abundant number, since it is smaller than the sum of its proper divisors (303311126638080).

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

76383314219520 is a wasteful number, since it uses less digits than its factorization.

76383314219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 76383314219520 in words is "seventy-six trillion, three hundred eighty-three billion, three hundred fourteen million, two hundred nineteen thousand, five hundred twenty".