6540904272 has 240 divisors, whose sum is σ = 20426121216. Its totient is φ = 1765958400.

The previous prime is 6540904259. The next prime is 6540904301. The reversal of 6540904272 is 2724090456.

It is a self number, because there is not a number n which added to its sum of digits gives 6540904272.

It is a congruent number.

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, 15175897 + ... + 15176327.

Almost surely, 2^6540904272 is an apocalyptic number.

6540904272 is a gapful number since it is divisible by the number (62) 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 6540904272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10213060608).

6540904272 is an abundant number, since it is smaller than the sum of its proper divisors (13885216944).

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

6540904272 is a wasteful number, since it uses less digits than its factorization.

6540904272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 6540904272 is about 80875.8571639275. The cubic root of 6540904272 is about 1870.1621554791.

The spelling of 6540904272 in words is "six billion, five hundred forty million, nine hundred four thousand, two hundred seventy-two".