6540631130880 has 2880 divisors, whose sum is σ = 30771062784000. Its totient is φ = 1286242467840.

The previous prime is 6540631130863. The next prime is 6540631130881. The reversal of 6540631130880 is 880311360456.

6540631130880 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 631 + 1 + 3 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (6540631130881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 32867493021 + ... + 32867493219.

It is an arithmetic number, because the mean of its divisors is an integer number (10684396800).

Almost surely, 2^{6540631130880} is an apocalyptic number.

6540631130880 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 6540631130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385531392000).

6540631130880 is an abundant number, since it is smaller than the sum of its proper divisors (24230431653120).

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

6540631130880 is a wasteful number, since it uses less digits than its factorization.

6540631130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 6540631130880 in words is "six trillion, five hundred forty billion, six hundred thirty-one million, one hundred thirty thousand, eight hundred eighty".