6942873600 has 864 divisors, whose sum is σ = 28648947600. Its totient is φ = 1592524800.

The previous prime is 6942873571. The next prime is 6942873629. The reversal of 6942873600 is 63782496.

6942873600 is a `hidden beast` number, since 6 + 9 + 4 + 287 + 360 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6942873571) and next prime (6942873629).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113817570 + ... + 113817630.

Almost surely, 2^6942873600 is an apocalyptic number.

6942873600 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 6942873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324473800).

6942873600 is an abundant number, since it is smaller than the sum of its proper divisors (21706074000).

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

6942873600 is a wasteful number, since it uses less digits than its factorization.

6942873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6942873600 is about 83323.9077336151. The cubic root of 6942873600 is about 1907.7132066336.

The spelling of 6942873600 in words is "six billion, nine hundred forty-two million, eight hundred seventy-three thousand, six hundred".