6242204424960 has 1440 divisors, whose sum is σ = 26212386816000. Its totient is φ = 1417775063040.

The previous prime is 6242204424959. The next prime is 6242204424983. The reversal of 6242204424960 is 694244022426.

6242204424960 is a `hidden beast` number, since 62 + 42 + 20 + 4 + 42 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6792387381 + ... + 6792388299.

It is an arithmetic number, because the mean of its divisors is an integer number (18203046400).

Almost surely, 2^{6242204424960} is an apocalyptic number.

6242204424960 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 6242204424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106193408000).

6242204424960 is an abundant number, since it is smaller than the sum of its proper divisors (19970182391040).

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

6242204424960 is an equidigital number, since it uses as much as digits as its factorization.

6242204424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 6242204424960 in words is "six trillion, two hundred forty-two billion, two hundred four million, four hundred twenty-four thousand, nine hundred sixty".