83540371968 has 120 divisors (see below), whose sum is σ = 246984293556. Its totient is φ = 27167539200.

The previous prime is 83540371933. The next prime is 83540371987. The reversal of 83540371968 is 86917304538.

83540371968 is a `hidden beast` number, since 8 + 3 + 540 + 3 + 7 + 1 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69924282624 + 13616089344 = 264432^2 + 116688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32163 + ... + 410018.

Almost surely, 2^83540371968 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 83540371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492146778).

83540371968 is an abundant number, since it is smaller than the sum of its proper divisors (163443921588).

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

83540371968 is a wasteful number, since it uses less digits than its factorization.

83540371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442246 (or 442227 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 83540371968 in words is "eighty-three billion, five hundred forty million, three hundred seventy-one thousand, nine hundred sixty-eight".