6943968000 has 864 divisors, whose sum is σ = 27855959040. Its totient is φ = 1716940800.

The previous prime is 6943967983. The next prime is 6943968023. The reversal of 6943968000 is 8693496.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 147743977 + ... + 147744023.

Almost surely, 2^6943968000 is an apocalyptic number.

6943968000 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 6943968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927979520).

6943968000 is an abundant number, since it is smaller than the sum of its proper divisors (20911991040).

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

6943968000 is an equidigital number, since it uses as much as digits as its factorization.

6943968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6943968000 is about 83330.4746176331. The cubic root of 6943968000 is about 1907.8134385051.

The spelling of 6943968000 in words is "six billion, nine hundred forty-three million, nine hundred sixty-eight thousand".