1672332113340 has 192 divisors, whose sum is σ = 5948520883200. Its totient is φ = 382089768192.

The previous prime is 1672332113327. The next prime is 1672332113381. The reversal of 1672332113340 is 433112332761.

1672332113340 is a `hidden beast` number, since 1 + 6 + 72 + 33 + 211 + 3 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1672332113295 and 1672332113304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9205062 + ... + 9384978.

It is an arithmetic number, because the mean of its divisors is an integer number (30981879600).

Almost surely, 2^{1672332113340} is an apocalyptic number.

1672332113340 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 1672332113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974260441600).

1672332113340 is an abundant number, since it is smaller than the sum of its proper divisors (4276188769860).

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

1672332113340 is a wasteful number, since it uses less digits than its factorization.

1672332113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182401 (or 182393 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 1672332113340 in words is "one trillion, six hundred seventy-two billion, three hundred thirty-two million, one hundred thirteen thousand, three hundred forty".