10674660682080 has 192 divisors, whose sum is σ = 37366535969280. Its totient is φ = 2846178196992.

The previous prime is 10674660682073. The next prime is 10674660682087. The reversal of 10674660682080 is 8028606647601.

10674660682080 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 4 + 6 + 606 + 8 + 20 + 8 + 0 = 666.

10674660682080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10674660682073) and next prime (10674660682087).

It is a super-2 number, since 2×10674660682080² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10674660682087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31397157 + ... + 31735323.

It is an arithmetic number, because the mean of its divisors is an integer number (194617374840).

Almost surely, 2^{10674660682080} is an apocalyptic number.

10674660682080 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 10674660682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18683267984640).

10674660682080 is an abundant number, since it is smaller than the sum of its proper divisors (26691875287200).

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

10674660682080 is a wasteful number, since it uses less digits than its factorization.

10674660682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345498 (or 345484 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10674660682080 in words is "ten trillion, six hundred seventy-four billion, six hundred sixty million, six hundred eighty-two thousand, eighty".