10676588340384 has 192 divisors, whose sum is σ = 31987690318080. Its totient is φ = 3462025743360.

The previous prime is 10676588340377. The next prime is 10676588340391. The reversal of 10676588340384 is 48304388567601.

10676588340384 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 6 + 588 + 3 + 40 + 3 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10676588340377) and next prime (10676588340391).

It is a super-2 number, since 2×10676588340384² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187335957 + ... + 187392939.

It is an arithmetic number, because the mean of its divisors is an integer number (166602553740).

Almost surely, 2^{10676588340384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10676588340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993845159040).

10676588340384 is an abundant number, since it is smaller than the sum of its proper divisors (21311101977696).

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

10676588340384 is a wasteful number, since it uses less digits than its factorization.

10676588340384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62900 (or 62886 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 10676588340384 in words is "ten trillion, six hundred seventy-six billion, five hundred eighty-eight million, three hundred forty thousand, three hundred eighty-four".