10207661664 has 48 divisors (see below), whose sum is σ = 26868215808. Its totient is φ = 3393270912.

The previous prime is 10207661647. The next prime is 10207661689. The reversal of 10207661664 is 46616670201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10207661664³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109632 + ... + 180095.

It is an arithmetic number, because the mean of its divisors is an integer number (559754496).

Almost surely, 2^10207661664 is an apocalyptic number.

It is an amenable number.

10207661664 is an abundant number, since it is smaller than the sum of its proper divisors (16660554144).

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

10207661664 is a wasteful number, since it uses less digits than its factorization.

10207661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290107 (or 290099 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10207661664 in words is "ten billion, two hundred seven million, six hundred sixty-one thousand, six hundred sixty-four".