83236458240 has 432 divisors, whose sum is σ = 320164965120. Its totient is φ = 19826933760.

The previous prime is 83236458203. The next prime is 83236458323. The reversal of 83236458240 is 4285463238.

83236458240 is a `hidden beast` number, since 8 + 3 + 2 + 3 + 64 + 582 + 4 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4633596 + ... + 4651524.

Almost surely, 2^83236458240 is an apocalyptic number.

83236458240 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 83236458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160082482560).

83236458240 is an abundant number, since it is smaller than the sum of its proper divisors (236928506880).

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

83236458240 is a wasteful number, since it uses less digits than its factorization.

83236458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18000 (or 17983 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 83236458240 in words is "eighty-three billion, two hundred thirty-six million, four hundred fifty-eight thousand, two hundred forty".