6702442180224 has 512 divisors, whose sum is σ = 21227134156800. Its totient is φ = 1833907765248.

The previous prime is 6702442180219. The next prime is 6702442180267. The reversal of 6702442180224 is 4220812442076.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2930668809 + ... + 2930671095.

It is an arithmetic number, because the mean of its divisors is an integer number (41459246400).

Almost surely, 2^{6702442180224} is an apocalyptic number.

6702442180224 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 6702442180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10613567078400).

6702442180224 is an abundant number, since it is smaller than the sum of its proper divisors (14524691976576).

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

6702442180224 is a wasteful number, since it uses less digits than its factorization.

6702442180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 6702442180224 in words is "six trillion, seven hundred two billion, four hundred forty-two million, one hundred eighty thousand, two hundred twenty-four".