83642743800 has 768 divisors, whose sum is σ = 380354227200. Its totient is φ = 16356556800.

The previous prime is 83642743753. The next prime is 83642743831. The reversal of 83642743800 is 834724638.

It is a super-2 number, since 2×83642743800² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 7062684 + ... + 7074516.

It is an arithmetic number, because the mean of its divisors is an integer number (495252900).

Almost surely, 2^83642743800 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 83642743800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190177113600).

83642743800 is an abundant number, since it is smaller than the sum of its proper divisors (296711483400).

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

83642743800 is a wasteful number, since it uses less digits than its factorization.

83642743800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11878 counting only the distinct ones).

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

The spelling of 83642743800 in words is "eighty-three billion, six hundred forty-two million, seven hundred forty-three thousand, eight hundred".