10664119673760 has 1536 divisors, whose sum is σ = 43528181760000. Its totient is φ = 2137635422208.

The previous prime is 10664119673677. The next prime is 10664119673789. The reversal of 10664119673760 is 6737691146601.

It is a super-2 number, since 2×10664119673760² (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 10664119673760.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8538125616 + ... + 8538126864.

It is an arithmetic number, because the mean of its divisors is an integer number (28338660000).

Almost surely, 2^{10664119673760} is an apocalyptic number.

10664119673760 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 10664119673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764090880000).

10664119673760 is an abundant number, since it is smaller than the sum of its proper divisors (32864062086240).

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

10664119673760 is a wasteful number, since it uses less digits than its factorization.

10664119673760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 10664119673760 in words is "ten trillion, six hundred sixty-four billion, one hundred nineteen million, six hundred seventy-three thousand, seven hundred sixty".