83791319040 has 1404 divisors, whose sum is σ = 365215819332. Its totient is φ = 17647534080.

The previous prime is 83791319009. The next prime is 83791319063. The reversal of 83791319040 is 4091319738.

It can be written as a sum of positive squares in 6 ways, for example, as 71368704 + 83719950336 = 8448^2 + 289344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4928901112 + ... + 4928901128.

Almost surely, 2^83791319040 is an apocalyptic number.

83791319040 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 83791319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182607909666).

83791319040 is an abundant number, since it is smaller than the sum of its proper divisors (281424500292).

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

83791319040 is a wasteful number, since it uses less digits than its factorization.

83791319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 83791319040 in words is "eighty-three billion, seven hundred ninety-one million, three hundred nineteen thousand, forty".