6242954618880 has 1152 divisors, whose sum is σ = 27334427702400. Its totient is φ = 1342972624896.

The previous prime is 6242954618851. The next prime is 6242954618933. The reversal of 6242954618880 is 888164592426.

6242954618880 is a `hidden beast` number, since 6 + 2 + 4 + 2 + 9 + 5 + 4 + 618 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230294287 + ... + 230321393.

It is an arithmetic number, because the mean of its divisors is an integer number (23727801825).

Almost surely, 2^{6242954618880} is an apocalyptic number.

6242954618880 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 6242954618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667213851200).

6242954618880 is an abundant number, since it is smaller than the sum of its proper divisors (21091473083520).

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

6242954618880 is a wasteful number, since it uses less digits than its factorization.

6242954618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27174 (or 27141 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 6242954618880 in words is "six trillion, two hundred forty-two billion, nine hundred fifty-four million, six hundred eighteen thousand, eight hundred eighty".