83736723840 has 1024 divisors, whose sum is σ = 348639068160. Its totient is φ = 16727040000.

The previous prime is 83736723839. The next prime is 83736723859. The reversal of 83736723840 is 4832763738.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 554547765 + ... + 554547915.

It is an arithmetic number, because the mean of its divisors is an integer number (340467840).

Almost surely, 2^83736723840 is an apocalyptic number.

83736723840 is a gapful number since it is divisible by the number (80) 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 83736723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174319534080).

83736723840 is an abundant number, since it is smaller than the sum of its proper divisors (264902344320).

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

83736723840 is a wasteful number, since it uses less digits than its factorization.

83736723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 83736723840 in words is "eighty-three billion, seven hundred thirty-six million, seven hundred twenty-three thousand, eight hundred forty".