73900366848 has 1584 divisors, whose sum is σ = 305792323200. Its totient is φ = 17557585920.

The previous prime is 73900366843. The next prime is 73900366849. The reversal of 73900366848 is 84866300937.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×73900366848³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 73900366794 and 73900366803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73900366843) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2548288498 + ... + 2548288526.

Almost surely, 2^73900366848 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 73900366848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152896161600).

73900366848 is an abundant number, since it is smaller than the sum of its proper divisors (231891956352).

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

73900366848 is a wasteful number, since it uses less digits than its factorization.

73900366848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 73900366848 in words is "seventy-three billion, nine hundred million, three hundred sixty-six thousand, eight hundred forty-eight".