10045764564 has 96 divisors (see below), whose sum is σ = 26319444480. Its totient is φ = 2956329600.

The previous prime is 10045764563. The next prime is 10045764577. The reversal of 10045764564 is 46546754001.

10045764564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10045764564² (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 (10045764563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638634 + ... + 654174.

It is an arithmetic number, because the mean of its divisors is an integer number (274160880).

Almost surely, 2^10045764564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10045764564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159722240).

10045764564 is an abundant number, since it is smaller than the sum of its proper divisors (16273679916).

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

10045764564 is a wasteful number, since it uses less digits than its factorization.

10045764564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15701 (or 15699 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 10045764564 in words is "ten billion, forty-five million, seven hundred sixty-four thousand, five hundred sixty-four".