73830864096 has 192 divisors, whose sum is σ = 235091808000. Its totient is φ = 22356288000.

The previous prime is 73830864091. The next prime is 73830864131. The reversal of 73830864096 is 69046803837.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73830864091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19947046 + ... + 19950746.

It is an arithmetic number, because the mean of its divisors is an integer number (1224436500).

Almost surely, 2^73830864096 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 73830864096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117545904000).

73830864096 is an abundant number, since it is smaller than the sum of its proper divisors (161260943904).

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

73830864096 is a wasteful number, since it uses less digits than its factorization.

73830864096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5816 counting only the distinct ones).

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

The spelling of 73830864096 in words is "seventy-three billion, eight hundred thirty million, eight hundred sixty-four thousand, ninety-six".