5920269264 has 480 divisors, whose sum is σ = 21914430720. Its totient is φ = 1504935936.

The previous prime is 5920269247. The next prime is 5920269269. The reversal of 5920269264 is 4629620295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920269269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10260144 + ... + 10260720.

It is an arithmetic number, because the mean of its divisors is an integer number (45655064).

Almost surely, 2^5920269264 is an apocalyptic number.

5920269264 is a gapful number since it is divisible by the number (54) 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 5920269264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957215360).

5920269264 is an abundant number, since it is smaller than the sum of its proper divisors (15994161456).

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

5920269264 is a wasteful number, since it uses less digits than its factorization.

5920269264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5920269264 is about 76943.2860228883. The cubic root of 5920269264 is about 1809.0357657343.

The spelling of 5920269264 in words is "five billion, nine hundred twenty million, two hundred sixty-nine thousand, two hundred sixty-four".