73409753943792 has 640 divisors, whose sum is σ = 257473234944000. Its totient is φ = 19573468508160.

The previous prime is 73409753943749. The next prime is 73409753943943. The reversal of 73409753943792 is 29734935790437.

It is a happy number.

73409753943792 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 9 + 75 + 39 + 437 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 73409753943792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2253683218 + ... + 2253715790.

It is an arithmetic number, because the mean of its divisors is an integer number (402301929600).

Almost surely, 2^{73409753943792} is an apocalyptic number.

73409753943792 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 73409753943792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128736617472000).

73409753943792 is an abundant number, since it is smaller than the sum of its proper divisors (184063481000208).

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

73409753943792 is a wasteful number, since it uses less digits than its factorization.

73409753943792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33486 (or 33474 counting only the distinct ones).

The product of its (nonzero) digits is 1080203040, while the sum is 72.

The spelling of 73409753943792 in words is "seventy-three trillion, four hundred nine billion, seven hundred fifty-three million, nine hundred forty-three thousand, seven hundred ninety-two".