10675586064 has 240 divisors, whose sum is σ = 33705953792. Its totient is φ = 2889216000.

The previous prime is 10675586041. The next prime is 10675586071. The reversal of 10675586064 is 46068557601.

It is a super-2 number, since 2×10675586064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338344 + ... + 2342904.

Almost surely, 2^10675586064 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 10675586064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852976896).

10675586064 is an abundant number, since it is smaller than the sum of its proper divisors (23030367728).

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

10675586064 is a wasteful number, since it uses less digits than its factorization.

10675586064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 10675586064 in words is "ten billion, six hundred seventy-five million, five hundred eighty-six thousand, sixty-four".