73046840768352 has 360 divisors, whose sum is σ = 246400780692528. Its totient is φ = 21172995233280.

The previous prime is 73046840768333. The next prime is 73046840768381. The reversal of 73046840768352 is 25386704864037.

73046840768352 is a `hidden beast` number, since 7 + 3 + 0 + 468 + 40 + 7 + 6 + 83 + 52 = 666.

73046840768352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 73046840768352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2150358 + ... + 12276714.

Almost surely, 2^{73046840768352} is an apocalyptic number.

73046840768352 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 73046840768352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123200390346264).

73046840768352 is an abundant number, since it is smaller than the sum of its proper divisors (173353939924176).

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

73046840768352 is a wasteful number, since it uses less digits than its factorization.

73046840768352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126424 (or 10126396 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 73046840768352 in words is "seventy-three trillion, forty-six billion, eight hundred forty million, seven hundred sixty-eight thousand, three hundred fifty-two".