6540135426 has 192 divisors, whose sum is σ = 16981440000. Its totient is φ = 1859124960.

The previous prime is 6540135409. The next prime is 6540135443. The reversal of 6540135426 is 6245310456.

6540135426 is a `hidden beast` number, since 65 + 40 + 13 + 542 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6540135409) and next prime (6540135443).

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, 17256105 + ... + 17256483.

It is an arithmetic number, because the mean of its divisors is an integer number (88445000).

Almost surely, 2^6540135426 is an apocalyptic number.

6540135426 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540135426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490720000).

6540135426 is an abundant number, since it is smaller than the sum of its proper divisors (10441304574).

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

6540135426 is a wasteful number, since it uses less digits than its factorization.

6540135426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6540135426 is about 80871.1037763180. The cubic root of 6540135426 is about 1870.0888769753.

The spelling of 6540135426 in words is "six billion, five hundred forty million, one hundred thirty-five thousand, four hundred twenty-six".