6242253560064 has 216 divisors, whose sum is σ = 18995254605600. Its totient is φ = 1966031585280.

The previous prime is 6242253560057. The next prime is 6242253560129. The reversal of 6242253560064 is 4600653522426.

6242253560064 is a `hidden beast` number, since 6 + 2 + 4 + 2 + 2 + 5 + 35 + 600 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16402984 + ... + 16779224.

Almost surely, 2^{6242253560064} is an apocalyptic number.

6242253560064 is a gapful number since it is divisible by the number (64) 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 6242253560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9497627302800).

6242253560064 is an abundant number, since it is smaller than the sum of its proper divisors (12753001045536).

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

6242253560064 is a wasteful number, since it uses less digits than its factorization.

6242253560064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376661 (or 376644 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 6242253560064 in words is "six trillion, two hundred forty-two billion, two hundred fifty-three million, five hundred sixty thousand, sixty-four".