10608524640 has 768 divisors, whose sum is σ = 44277166080. Its totient is φ = 2351462400.

The previous prime is 10608524639. The next prime is 10608524651. The reversal of 10608524640 is 4642580601.

10608524640 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 8 + 5 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×10608524640² (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 a junction number, because it is equal to n+sod(n) for n = 10608524595 and 10608524604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149415805 + ... + 149415875.

It is an arithmetic number, because the mean of its divisors is an integer number (57652560).

Almost surely, 2^10608524640 is an apocalyptic number.

10608524640 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 10608524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138583040).

10608524640 is an abundant number, since it is smaller than the sum of its proper divisors (33668641440).

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

10608524640 is an frugal number, since it uses more digits than its factorization.

10608524640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10608524640 in words is "ten billion, six hundred eight million, five hundred twenty-four thousand, six hundred forty".