6842055450240 has 512 divisors, whose sum is σ = 25081449120000. Its totient is φ = 1760679051264.

The previous prime is 6842055450239. The next prime is 6842055450353. The reversal of 6842055450240 is 420545502486.

6842055450240 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 0 + 554 + 50 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1810544671 + ... + 1810548449.

Almost surely, 2^{6842055450240} is an apocalyptic number.

6842055450240 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 6842055450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540724560000).

6842055450240 is an abundant number, since it is smaller than the sum of its proper divisors (18239393669760).

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

6842055450240 is a wasteful number, since it uses less digits than its factorization.

6842055450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 6842055450240 in words is "six trillion, eight hundred forty-two billion, fifty-five million, four hundred fifty thousand, two hundred forty".