10645907328 has 768 divisors, whose sum is σ = 40292121600. Its totient is φ = 2704306176.

The previous prime is 10645907317. The next prime is 10645907329. The reversal of 10645907328 is 82370954601.

10645907328 is a `hidden beast` number, since 106 + 459 + 0 + 73 + 28 = 666.

It is a super-2 number, since 2×10645907328² (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 (10645907329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200866150 + ... + 200866202.

It is an arithmetic number, because the mean of its divisors is an integer number (52463700).

It is a 1-persistent number, because it is pandigital, but 2⋅10645907328 = 21291814656 is not.

Almost surely, 2^10645907328 is an apocalyptic number.

10645907328 is a gapful number since it is divisible by the number (18) 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 10645907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146060800).

10645907328 is an abundant number, since it is smaller than the sum of its proper divisors (29646214272).

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

10645907328 is a wasteful number, since it uses less digits than its factorization.

10645907328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10645907328 in words is "ten billion, six hundred forty-five million, nine hundred seven thousand, three hundred twenty-eight".