6729402240 has 320 divisors, whose sum is σ = 26218851120. Its totient is φ = 1631232000.

The previous prime is 6729402187. The next prime is 6729402241. The reversal of 6729402240 is 422049276.

6729402240 is a `hidden beast` number, since 6 + 7 + 2 + 9 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 6729402195 and 6729402204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6729402241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564340 + ... + 576140.

Almost surely, 2^6729402240 is an apocalyptic number.

6729402240 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 6729402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13109425560).

6729402240 is an abundant number, since it is smaller than the sum of its proper divisors (19489448880).

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

6729402240 is a wasteful number, since it uses less digits than its factorization.

6729402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6729402240 is about 82032.9338741459. The cubic root of 6729402240 is about 1887.9572790295.

The spelling of 6729402240 in words is "six billion, seven hundred twenty-nine million, four hundred two thousand, two hundred forty".