83007673644 has 144 divisors (see below), whose sum is σ = 241921935360. Its totient is φ = 22006817280.

The previous prime is 83007673597. The next prime is 83007673663. The reversal of 83007673644 is 44637670038.

It is a junction number, because it is equal to n+sod(n) for n = 83007673593 and 83007673602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651237 + ... + 768195.

It is an arithmetic number, because the mean of its divisors is an integer number (1680013440).

Almost surely, 2^83007673644 is an apocalyptic number.

83007673644 is a gapful number since it is divisible by the number (84) 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 83007673644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960967680).

83007673644 is an abundant number, since it is smaller than the sum of its proper divisors (158914261716).

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

83007673644 is a wasteful number, since it uses less digits than its factorization.

83007673644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117068 (or 117059 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 83007673644 in words is "eighty-three billion, seven million, six hundred seventy-three thousand, six hundred forty-four".