10672852608 has 384 divisors, whose sum is σ = 35057318400. Its totient is φ = 3087360000.

The previous prime is 10672852607. The next prime is 10672852627. The reversal of 10672852608 is 80625827601.

10672852608 is a `hidden beast` number, since 10 + 6 + 7 + 28 + 5 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10672852608² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10672852601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39675898 + ... + 39676166.

It is an arithmetic number, because the mean of its divisors is an integer number (91295100).

Almost surely, 2^10672852608 is an apocalyptic number.

10672852608 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 10672852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528659200).

10672852608 is an abundant number, since it is smaller than the sum of its proper divisors (24384465792).

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

10672852608 is a wasteful number, since it uses less digits than its factorization.

10672852608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10672852608 in words is "ten billion, six hundred seventy-two million, eight hundred fifty-two thousand, six hundred eight".