10665634320 has 240 divisors, whose sum is σ = 40336418304. Its totient is φ = 2502144000.

The previous prime is 10665634303. The next prime is 10665634333. The reversal of 10665634320 is 2343656601.

10665634320 is a `hidden beast` number, since 1 + 0 + 66 + 563 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10665634320² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223800 + ... + 267240.

Almost surely, 2^10665634320 is an apocalyptic number.

10665634320 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 10665634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20168209152).

10665634320 is an abundant number, since it is smaller than the sum of its proper divisors (29670783984).

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

10665634320 is a wasteful number, since it uses less digits than its factorization.

10665634320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43502 (or 43493 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10665634320 in words is "ten billion, six hundred sixty-five million, six hundred thirty-four thousand, three hundred twenty".