5623914240 has 864 divisors, whose sum is σ = 24075213120. Its totient is φ = 1254113280.

The previous prime is 5623914193. The next prime is 5623914277. The reversal of 5623914240 is 424193265.

It is a happy number.

5623914240 is a `hidden beast` number, since 5 + 623 + 9 + 1 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5623914240² = 63256822757749555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5623914195 and 5623914204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137168620 + ... + 137168660.

It is an arithmetic number, because the mean of its divisors is an integer number (27864830).

Almost surely, 2^5623914240 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 5623914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037606560).

5623914240 is an abundant number, since it is smaller than the sum of its proper divisors (18451298880).

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

5623914240 is an frugal number, since it uses more digits than its factorization.

5623914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5623914240 is about 74992.7612506701. The cubic root of 5623914240 is about 1778.3322172529.

The spelling of 5623914240 in words is "five billion, six hundred twenty-three million, nine hundred fourteen thousand, two hundred forty".