6727942812240 has 640 divisors, whose sum is σ = 25088144256000. Its totient is φ = 1647410282496.

The previous prime is 6727942812209. The next prime is 6727942812257. The reversal of 6727942812240 is 422182497276.

6727942812240 is a `hidden beast` number, since 6 + 72 + 79 + 4 + 281 + 224 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8019001741 + ... + 8019002579.

It is an arithmetic number, because the mean of its divisors is an integer number (39200225400).

Almost surely, 2^{6727942812240} is an apocalyptic number.

6727942812240 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 6727942812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12544072128000).

6727942812240 is an abundant number, since it is smaller than the sum of its proper divisors (18360201443760).

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

6727942812240 is a wasteful number, since it uses less digits than its factorization.

6727942812240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 6727942812240 in words is "six trillion, seven hundred twenty-seven billion, nine hundred forty-two million, eight hundred twelve thousand, two hundred forty".