6537749760 has 216 divisors, whose sum is σ = 23458824480. Its totient is φ = 1743316992.

The previous prime is 6537749741. The next prime is 6537749761. The reversal of 6537749760 is 679477356.

6537749760 is a `hidden beast` number, since 6 + 537 + 7 + 49 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6537749697 and 6537749706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6537749761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300531 + ... + 321549.

Almost surely, 2^6537749760 is an apocalyptic number.

6537749760 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 6537749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11729412240).

6537749760 is an abundant number, since it is smaller than the sum of its proper divisors (16921074720).

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

6537749760 is an equidigital number, since it uses as much as digits as its factorization.

6537749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21055 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 6537749760 is about 80856.3526261233. The cubic root of 6537749760 is about 1869.8614632325.

The spelling of 6537749760 in words is "six billion, five hundred thirty-seven million, seven hundred forty-nine thousand, seven hundred sixty".