10677624608 has 96 divisors (see below), whose sum is σ = 24924412800. Its totient is φ = 4405653504.

The previous prime is 10677624583. The next prime is 10677624611. The reversal of 10677624608 is 80642677601.

It is a happy number.

It is a super-2 number, since 2×10677624608² (a number of 21 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 15 ways as a sum of consecutive naturals, for example, 2459816 + ... + 2464152.

It is an arithmetic number, because the mean of its divisors is an integer number (259629300).

Almost surely, 2^10677624608 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 10677624608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12462206400).

10677624608 is an abundant number, since it is smaller than the sum of its proper divisors (14246788192).

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

10677624608 is a wasteful number, since it uses less digits than its factorization.

10677624608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 10677624608 in words is "ten billion, six hundred seventy-seven million, six hundred twenty-four thousand, six hundred eight".