6942412800 has 624 divisors, whose sum is σ = 26651548160. Its totient is φ = 1791590400.

The previous prime is 6942412787. The next prime is 6942412811. The reversal of 6942412800 is 82142496.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223948785 + ... + 223948815.

Almost surely, 2^6942412800 is an apocalyptic number.

6942412800 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 6942412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325774080).

6942412800 is an abundant number, since it is smaller than the sum of its proper divisors (19709135360).

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

6942412800 is an frugal number, since it uses more digits than its factorization.

6942412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6942412800 is about 83321.1425749791. The cubic root of 6942412800 is about 1907.6710005892.

The spelling of 6942412800 in words is "six billion, nine hundred forty-two million, four hundred twelve thousand, eight hundred".