73693349323776 has 2112 divisors, whose sum is σ = 282108141486080. Its totient is φ = 18691304325120.

The previous prime is 73693349323733. The next prime is 73693349323793. The reversal of 73693349323776 is 67732394339637.

It is a happy number.

73693349323776 is a `hidden beast` number, since 7 + 3 + 6 + 9 + 33 + 493 + 2 + 37 + 76 = 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194441554755 + ... + 194441555133.

Almost surely, 2^{73693349323776} 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 73693349323776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141054070743040).

73693349323776 is an abundant number, since it is smaller than the sum of its proper divisors (208414792162304).

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

73693349323776 is a wasteful number, since it uses less digits than its factorization.

73693349323776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 712 counting only the distinct ones).

The product of its digits is 1944365472, while the sum is 72.

The spelling of 73693349323776 in words is "seventy-three trillion, six hundred ninety-three billion, three hundred forty-nine million, three hundred twenty-three thousand, seven hundred seventy-six".