10672223399760 has 640 divisors, whose sum is σ = 38528734003200. Its totient is φ = 2423481016320.

The previous prime is 10672223399699. The next prime is 10672223399779. The reversal of 10672223399760 is 6799332227601.

It is a super-2 number, since 2×10672223399760² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10672223399760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221561439 + ... + 221609601.

It is an arithmetic number, because the mean of its divisors is an integer number (60201146880).

Almost surely, 2^{10672223399760} is an apocalyptic number.

10672223399760 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 10672223399760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19264367001600).

10672223399760 is an abundant number, since it is smaller than the sum of its proper divisors (27856510603440).

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

10672223399760 is a wasteful number, since it uses less digits than its factorization.

10672223399760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48331 (or 48325 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 57.

The spelling of 10672223399760 in words is "ten trillion, six hundred seventy-two billion, two hundred twenty-three million, three hundred ninety-nine thousand, seven hundred sixty".