6727153680 has 560 divisors, whose sum is σ = 26640169920. Its totient is φ = 1565402112.

The previous prime is 6727153669. The next prime is 6727153687. The reversal of 6727153680 is 863517276.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6727153687) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14404807 + ... + 14405273.

It is an arithmetic number, because the mean of its divisors is an integer number (47571732).

Almost surely, 2^6727153680 is an apocalyptic number.

6727153680 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 6727153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320084960).

6727153680 is an abundant number, since it is smaller than the sum of its proper divisors (19913016240).

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

6727153680 is a wasteful number, since it uses less digits than its factorization.

6727153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6727153680 is about 82019.2275018486. The cubic root of 6727153680 is about 1887.7469751529.

The spelling of 6727153680 in words is "six billion, seven hundred twenty-seven million, one hundred fifty-three thousand, six hundred eighty".