1832072719680 has 672 divisors, whose sum is σ = 7471095690240. Its totient is φ = 403359989760.

The previous prime is 1832072719679. The next prime is 1832072719699. The reversal of 1832072719680 is 869172702381.

It is a happy number.

1832072719680 is a `hidden beast` number, since 1 + 8 + 3 + 207 + 271 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65284212 + ... + 65312268.

It is an arithmetic number, because the mean of its divisors is an integer number (11117701920).

Almost surely, 2^{1832072719680} is an apocalyptic number.

1832072719680 is a gapful number since it is divisible by the number (10) 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 1832072719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735547845120).

1832072719680 is an abundant number, since it is smaller than the sum of its proper divisors (5639022970560).

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

1832072719680 is a wasteful number, since it uses less digits than its factorization.

1832072719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28207 (or 28194 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1832072719680 in words is "one trillion, eight hundred thirty-two billion, seventy-two million, seven hundred nineteen thousand, six hundred eighty".