73849717760 has 352 divisors, whose sum is σ = 225111570432. Its totient is φ = 22613852160.

The previous prime is 73849717759. The next prime is 73849717783. The reversal of 73849717760 is 6771794837.

It is a self number, because there is not a number n which added to its sum of digits gives 73849717760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14440964 + ... + 14446076.

Almost surely, 2^73849717760 is an apocalyptic number.

73849717760 is a gapful number since it is divisible by the number (70) 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 73849717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112555785216).

73849717760 is an abundant number, since it is smaller than the sum of its proper divisors (151261852672).

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

73849717760 is a wasteful number, since it uses less digits than its factorization.

73849717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5171 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 59.

The spelling of 73849717760 in words is "seventy-three billion, eight hundred forty-nine million, seven hundred seventeen thousand, seven hundred sixty".