73819932397344 has 192 divisors, whose sum is σ = 246379121049600. Its totient is φ = 21064608140544.

The previous prime is 73819932397307. The next prime is 73819932397349. The reversal of 73819932397344 is 44379323991837.

It is a happy number.

73819932397344 is a `hidden beast` number, since 7 + 3 + 8 + 199 + 3 + 2 + 3 + 97 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (73819932397349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2994784 + ... + 12514335.

It is an arithmetic number, because the mean of its divisors is an integer number (1283224588800).

Almost surely, 2^{73819932397344} 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 73819932397344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123189560524800).

73819932397344 is an abundant number, since it is smaller than the sum of its proper divisors (172559188652256).

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

73819932397344 is a wasteful number, since it uses less digits than its factorization.

73819932397344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15509932 (or 15509918 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 73819932397344 in words is "seventy-three trillion, eight hundred nineteen billion, nine hundred thirty-two million, three hundred ninety-seven thousand, three hundred forty-four".