10669639680 has 768 divisors, whose sum is σ = 44815680000. Its totient is φ = 2356936704.

The previous prime is 10669639621. The next prime is 10669639703. The reversal of 10669639680 is 8693696601.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×10669639680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71608246 + ... + 71608394.

It is an arithmetic number, because the mean of its divisors is an integer number (58353750).

Almost surely, 2^10669639680 is an apocalyptic number.

10669639680 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 10669639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840000).

10669639680 is an abundant number, since it is smaller than the sum of its proper divisors (34146040320).

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

10669639680 is a wasteful number, since it uses less digits than its factorization.

10669639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 10669639680 in words is "ten billion, six hundred sixty-nine million, six hundred thirty-nine thousand, six hundred eighty".