10677609000 has 256 divisors, whose sum is σ = 38212761600. Its totient is φ = 2755296000.

The previous prime is 10677608983. The next prime is 10677609029. The reversal of 10677609000 is 90677601.

10677609000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10677609000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830622 + ... + 843378.

It is an arithmetic number, because the mean of its divisors is an integer number (149268600).

Almost surely, 2^10677609000 is an apocalyptic number.

10677609000 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 10677609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106380800).

10677609000 is an abundant number, since it is smaller than the sum of its proper divisors (27535152600).

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

10677609000 is a wasteful number, since it uses less digits than its factorization.

10677609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 10677609000 in words is "ten billion, six hundred seventy-seven million, six hundred nine thousand".