1672715266560 has 1920 divisors, whose sum is σ = 7161696622080. Its totient is φ = 370676072448.

The previous prime is 1672715266511. The next prime is 1672715266661. The reversal of 1672715266560 is 656625172761.

It is a happy number.

1672715266560 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 7 + 15 + 2 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×1672715266560³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1672715266497 and 1672715266506.

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 191 ways as a sum of consecutive naturals, for example, 72726750709 + ... + 72726750731.

It is an arithmetic number, because the mean of its divisors is an integer number (3730050324).

Almost surely, 2^{1672715266560} is an apocalyptic number.

1672715266560 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 1672715266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580848311040).

1672715266560 is an abundant number, since it is smaller than the sum of its proper divisors (5488981355520).

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

1672715266560 is an frugal number, since it uses more digits than its factorization.

1672715266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 1672715266560 in words is "one trillion, six hundred seventy-two billion, seven hundred fifteen million, two hundred sixty-six thousand, five hundred sixty".