73264094317440 has 512 divisors, whose sum is σ = 279468292521600. Its totient is φ = 18032204316672.

The previous prime is 73264094317433. The next prime is 73264094317451. The reversal of 73264094317440 is 4471349046237.

It is a happy number.

73264094317440 is a `hidden beast` number, since 7 + 3 + 26 + 409 + 4 + 3 + 174 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3346451134 + ... + 3346473026.

Almost surely, 2^{73264094317440} 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 73264094317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139734146260800).

73264094317440 is an abundant number, since it is smaller than the sum of its proper divisors (206204198204160).

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

73264094317440 is a wasteful number, since it uses less digits than its factorization.

73264094317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36831 (or 36813 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 73264094317440 in words is "seventy-three trillion, two hundred sixty-four billion, ninety-four million, three hundred seventeen thousand, four hundred forty".