6742732320 has 144 divisors (see below), whose sum is σ = 23032900800. Its totient is φ = 1796239872.

The previous prime is 6742732289. The next prime is 6742732327. The reversal of 6742732320 is 232372476.

6742732320 is a `hidden beast` number, since 67 + 4 + 273 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6742732327) 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, 2012887 + ... + 2016233.

It is an arithmetic number, because the mean of its divisors is an integer number (159950700).

Almost surely, 2^6742732320 is an apocalyptic number.

6742732320 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 6742732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516450400).

6742732320 is an abundant number, since it is smaller than the sum of its proper divisors (16290168480).

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

6742732320 is a wasteful number, since it uses less digits than its factorization.

6742732320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 6742732320 is about 82114.1420219441. The cubic root of 6742732320 is about 1889.2030569680.

The spelling of 6742732320 in words is "six billion, seven hundred forty-two million, seven hundred thirty-two thousand, three hundred twenty".