6942724408224 has 576 divisors, whose sum is σ = 22617753814656. Its totient is φ = 2001162240000.

The previous prime is 6942724408129. The next prime is 6942724408237. The reversal of 6942724408224 is 4228044272496.

It is a happy number.

6942724408224 is a `hidden beast` number, since 6 + 9 + 4 + 2 + 7 + 2 + 4 + 408 + 224 = 666.

It is a super-3 number, since 3×6942724408224³ (a number of 40 digits) contains 333 as substring.

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, 5255657484 + ... + 5255658804.

It is an arithmetic number, because the mean of its divisors is an integer number (39266933706).

Almost surely, 2^{6942724408224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6942724408224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308876907328).

6942724408224 is an abundant number, since it is smaller than the sum of its proper divisors (15675029406432).

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

6942724408224 is a wasteful number, since it uses less digits than its factorization.

6942724408224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 6942724408224 in words is "six trillion, nine hundred forty-two billion, seven hundred twenty-four million, four hundred eight thousand, two hundred twenty-four".