5623097760 has 672 divisors, whose sum is σ = 23321716992. Its totient is φ = 1254113280.

The previous prime is 5623097743. The next prime is 5623097761. The reversal of 5623097760 is 677903265.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×5623097760³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5623097761) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57970032 + ... + 57970128.

It is an arithmetic number, because the mean of its divisors is an integer number (34704936).

Almost surely, 2^5623097760 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 5623097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11660858496).

5623097760 is an abundant number, since it is smaller than the sum of its proper divisors (17698619232).

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

5623097760 is an equidigital number, since it uses as much as digits as its factorization.

5623097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 5623097760 is about 74987.3173276655. The cubic root of 5623097760 is about 1778.2461536504.

The spelling of 5623097760 in words is "five billion, six hundred twenty-three million, ninety-seven thousand, seven hundred sixty".