10665337760 has 384 divisors, whose sum is σ = 32565141504. Its totient is φ = 3204956160.

The previous prime is 10665337759. The next prime is 10665337769. The reversal of 10665337760 is 6773356601.

It is a super-2 number, since 2×10665337760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (10665337769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65431439 + ... + 65431601.

It is an arithmetic number, because the mean of its divisors is an integer number (84805056).

Almost surely, 2^10665337760 is an apocalyptic number.

10665337760 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 10665337760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282570752).

10665337760 is an abundant number, since it is smaller than the sum of its proper divisors (21899803744).

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

10665337760 is a wasteful number, since it uses less digits than its factorization.

10665337760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 44.

The spelling of 10665337760 in words is "ten billion, six hundred sixty-five million, three hundred thirty-seven thousand, seven hundred sixty".