73326813120 has 840 divisors, whose sum is σ = 290993901120. Its totient is φ = 16927764480.

The previous prime is 73326813101. The next prime is 73326813191. The reversal of 73326813120 is 2131862337.

73326813120 is a `hidden beast` number, since 7 + 332 + 6 + 8 + 1 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1560144937 + ... + 1560144983.

Almost surely, 2^73326813120 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 73326813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145496950560).

73326813120 is an abundant number, since it is smaller than the sum of its proper divisors (217667088000).

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

73326813120 is a wasteful number, since it uses less digits than its factorization.

73326813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 73326 and 813120, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 73326813120 in words is "seventy-three billion, three hundred twenty-six million, eight hundred thirteen thousand, one hundred twenty".