10677732600 has 192 divisors, whose sum is σ = 34287805440. Its totient is φ = 2747046400.

The previous prime is 10677732587. The next prime is 10677732601. The reversal of 10677732600 is 623777601.

10677732600 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 2×10677732600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677732601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1999534 + ... + 2004866.

It is an arithmetic number, because the mean of its divisors is an integer number (178582320).

Almost surely, 2^10677732600 is an apocalyptic number.

10677732600 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 10677732600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143902720).

10677732600 is an abundant number, since it is smaller than the sum of its proper divisors (23610072840).

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

10677732600 is a wasteful number, since it uses less digits than its factorization.

10677732600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The spelling of 10677732600 in words is "ten billion, six hundred seventy-seven million, seven hundred thirty-two thousand, six hundred".