10720464664 has 64 divisors (see below), whose sum is σ = 24777426240. Its totient is φ = 4234567680.

The previous prime is 10720464661. The next prime is 10720464737. The reversal of 10720464664 is 46646402701.

It is a super-2 number, since 2×10720464664² (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 (10720464661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479004 + ... + 500884.

It is an arithmetic number, because the mean of its divisors is an integer number (387147285).

Almost surely, 2^10720464664 is an apocalyptic number.

10720464664 is a gapful number since it is divisible by the number (14) 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 10720464664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388713120).

10720464664 is an abundant number, since it is smaller than the sum of its proper divisors (14056961576).

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

10720464664 is a wasteful number, since it uses less digits than its factorization.

10720464664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22580 (or 22576 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 10720464664 in words is "ten billion, seven hundred twenty million, four hundred sixty-four thousand, six hundred sixty-four".