73646437730112 has 1344 divisors, whose sum is σ = 255054899957760. Its totient is φ = 20769925423104.

The previous prime is 73646437730101. The next prime is 73646437730219. The reversal of 73646437730112 is 21103773464637.

73646437730112 is a `hidden beast` number, since 7 + 3 + 6 + 464 + 37 + 7 + 30 + 112 = 666.

73646437730112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 16650786333 + ... + 16650790755.

It is an arithmetic number, because the mean of its divisors is an integer number (189772991040).

Almost surely, 2^{73646437730112} is an apocalyptic number.

73646437730112 is a gapful number since it is divisible by the number (72) 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 73646437730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127527449978880).

73646437730112 is an abundant number, since it is smaller than the sum of its proper divisors (181408462227648).

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

73646437730112 is a wasteful number, since it uses less digits than its factorization.

73646437730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 73646437730112 in words is "seventy-three trillion, six hundred forty-six billion, four hundred thirty-seven million, seven hundred thirty thousand, one hundred twelve".