10662045672 has 64 divisors (see below), whose sum is σ = 26836992000. Its totient is φ = 3529842624.

The previous prime is 10662045631. The next prime is 10662045673. The reversal of 10662045672 is 27654026601.

It is a super-2 number, since 2×10662045672² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10662045672.

It is not an unprimeable number, because it can be changed into a prime (10662045673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2561529 + ... + 2565687.

It is an arithmetic number, because the mean of its divisors is an integer number (419328000).

Almost surely, 2^10662045672 is an apocalyptic number.

10662045672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10662045672 is an abundant number, since it is smaller than the sum of its proper divisors (16174946328).

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

10662045672 is a wasteful number, since it uses less digits than its factorization.

10662045672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 10662045672 in words is "ten billion, six hundred sixty-two million, forty-five thousand, six hundred seventy-two".