6090723840 has 480 divisors, whose sum is σ = 21555870336. Its totient is φ = 1463418880.

The previous prime is 6090723827. The next prime is 6090723851. The reversal of 6090723840 is 483270906.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×6090723840³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148554220 + ... + 148554260.

Almost surely, 2^6090723840 is an apocalyptic number.

6090723840 is a gapful number since it is divisible by the number (60) 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 6090723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777935168).

6090723840 is an abundant number, since it is smaller than the sum of its proper divisors (15465146496).

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

6090723840 is a wasteful number, since it uses less digits than its factorization.

6090723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6090723840 is about 78043.0896364310. The cubic root of 6090723840 is about 1826.2334905028.

The spelling of 6090723840 in words is "six billion, ninety million, seven hundred twenty-three thousand, eight hundred forty".