6540023160 has 512 divisors, whose sum is σ = 25256448000. Its totient is φ = 1490227200.

The previous prime is 6540023101. The next prime is 6540023167. The reversal of 6540023160 is 613200456.

6540023160 is a `hidden beast` number, since 654 + 0 + 0 + 2 + 3 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540023167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14125089 + ... + 14125551.

It is an arithmetic number, because the mean of its divisors is an integer number (49329000).

Almost surely, 2^6540023160 is an apocalyptic number.

6540023160 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 6540023160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628224000).

6540023160 is an abundant number, since it is smaller than the sum of its proper divisors (18716424840).

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

6540023160 is a wasteful number, since it uses less digits than its factorization.

6540023160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6540023160 is about 80870.4096688028. The cubic root of 6540023160 is about 1870.0781764528.

The spelling of 6540023160 in words is "six billion, five hundred forty million, twenty-three thousand, one hundred sixty".