83322339840 has 120 divisors (see below), whose sum is σ = 288568777068. Its totient is φ = 22219284480.

The previous prime is 83322339781. The next prime is 83322339869. The reversal of 83322339840 is 4893322338.

83322339840 is a `hidden beast` number, since 8 + 33 + 223 + 398 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81924178176 + 1398161664 = 286224^2 + 37392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×83322339840² (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1785171 + ... + 1831250.

Almost surely, 2^83322339840 is an apocalyptic number.

83322339840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83322339840 is an abundant number, since it is smaller than the sum of its proper divisors (205246437228).

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

83322339840 is a wasteful number, since it uses less digits than its factorization.

83322339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616450 (or 3616431 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 83322339840 in words is "eighty-three billion, three hundred twenty-two million, three hundred thirty-nine thousand, eight hundred forty".