73831440384 has 448 divisors, whose sum is σ = 239233740480. Its totient is φ = 22645702656.

The previous prime is 73831440379. The next prime is 73831440391. The reversal of 73831440384 is 48304413837.

It is a super-2 number, since 2×73831440384² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232906594 + ... + 232906910.

It is an arithmetic number, because the mean of its divisors is an integer number (534003885).

Almost surely, 2^73831440384 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 73831440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119616870240).

73831440384 is an abundant number, since it is smaller than the sum of its proper divisors (165402300096).

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

73831440384 is an frugal number, since it uses more digits than its factorization.

73831440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 73831440384 in words is "seventy-three billion, eight hundred thirty-one million, four hundred forty thousand, three hundred eighty-four".