10674067376640 has 160 divisors (see below), whose sum is σ = 34125581983680. Its totient is φ = 2846257577984.

The previous prime is 10674067376633. The next prime is 10674067376647. The reversal of 10674067376640 is 4667376047601.

It is an interprime number because it is at equal distance from previous prime (10674067376633) and next prime (10674067376647).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10674067376640² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10674067376647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 208709152 + ... + 208760288.

It is an arithmetic number, because the mean of its divisors is an integer number (213284887398).

Almost surely, 2^{10674067376640} is an apocalyptic number.

10674067376640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10674067376640 is an abundant number, since it is smaller than the sum of its proper divisors (23451514607040).

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

10674067376640 is an equidigital number, since it uses as much as digits as its factorization.

10674067376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78342 (or 78326 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 57.

The spelling of 10674067376640 in words is "ten trillion, six hundred seventy-four billion, sixty-seven million, three hundred seventy-six thousand, six hundred forty".