82374283025672 has 128 divisors (see below), whose sum is σ = 176600712499200. Its totient is φ = 35682308179200.

The previous prime is 82374283025669. The next prime is 82374283025701. The reversal of 82374283025672 is 27652038247328.

It is a super-2 number, since 2×82374283025672² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47618603 + ... + 49318149.

It is an arithmetic number, because the mean of its divisors is an integer number (1379693066400).

Almost surely, 2^{82374283025672} 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 82374283025672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300356249600).

82374283025672 is an abundant number, since it is smaller than the sum of its proper divisors (94226429473528).

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

82374283025672 is a wasteful number, since it uses less digits than its factorization.

82374283025672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699867 (or 1699863 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 59.

The spelling of 82374283025672 in words is "eighty-two trillion, three hundred seventy-four billion, two hundred eighty-three million, twenty-five thousand, six hundred seventy-two".