10677632000 has 352 divisors, whose sum is σ = 32280633216. Its totient is φ = 3440640000.

The previous prime is 10677631981. The next prime is 10677632011. The reversal of 10677632000 is 23677601.

10677632000 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 2×10677632000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15231650 + ... + 15232350.

Almost surely, 2^10677632000 is an apocalyptic number.

10677632000 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 10677632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140316608).

10677632000 is an abundant number, since it is smaller than the sum of its proper divisors (21603001216).

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

10677632000 is an equidigital number, since it uses as much as digits as its factorization.

10677632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 10677632000 in words is "ten billion, six hundred seventy-seven million, six hundred thirty-two thousand".