6527741460 has 96 divisors (see below), whose sum is σ = 19256240640. Its totient is φ = 1647692928.

The previous prime is 6527741443. The next prime is 6527741461. The reversal of 6527741460 is 641477256.

It is a super-2 number, since 2×6527741460² = 85222817137205863200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6527741461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126847 + ... + 2129913.

It is an arithmetic number, because the mean of its divisors is an integer number (200585840).

Almost surely, 2^6527741460 is an apocalyptic number.

6527741460 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 6527741460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9628120320).

6527741460 is an abundant number, since it is smaller than the sum of its proper divisors (12728499180).

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

6527741460 is a wasteful number, since it uses less digits than its factorization.

6527741460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 6527741460 is about 80794.4395363938. The cubic root of 6527741460 is about 1868.9068181432.

The spelling of 6527741460 in words is "six billion, five hundred twenty-seven million, seven hundred forty-one thousand, four hundred sixty".