73796982336 has 735 divisors, whose sum is σ = 280527366427. Its totient is φ = 19168047360.

The previous prime is 73796982331. The next prime is 73796982383. The reversal of 73796982336 is 63328969737.

The square root of 73796982336 is 271656.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (73796982331) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 6708816571 + ... + 6708816581.

Almost surely, 2^73796982336 is an apocalyptic number.

73796982336 is the 271656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73796982336

73796982336 is an abundant number, since it is smaller than the sum of its proper divisors (206730384091).

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

73796982336 is an frugal number, since it uses more digits than its factorization.

73796982336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 23 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 73796982336 in words is "seventy-three billion, seven hundred ninety-six million, nine hundred eighty-two thousand, three hundred thirty-six".