6942936000 has 1344 divisors, whose sum is σ = 32698358784. Its totient is φ = 1253376000.

The previous prime is 6942935959. The next prime is 6942936043. The reversal of 6942936000 is 6392496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6942936000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 408407992 + ... + 408408008.

It is an arithmetic number, because the mean of its divisors is an integer number (24329136).

Almost surely, 2^6942936000 is an apocalyptic number.

6942936000 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 6942936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349179392).

6942936000 is an abundant number, since it is smaller than the sum of its proper divisors (25755422784).

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

6942936000 is a wasteful number, since it uses less digits than its factorization.

6942936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 6942936000 is about 83324.2821751259. The cubic root of 6942936000 is about 1907.7189218918.

The spelling of 6942936000 in words is "six billion, nine hundred forty-two million, nine hundred thirty-six thousand".