6945378000 has 320 divisors, whose sum is σ = 24958402560. Its totient is φ = 1647168000.

The previous prime is 6945377993. The next prime is 6945378007. The reversal of 6945378000 is 8735496.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6945377993) and next prime (6945378007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945378007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3100881 + ... + 3103119.

It is an arithmetic number, because the mean of its divisors is an integer number (77995008).

Almost surely, 2^6945378000 is an apocalyptic number.

6945378000 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 6945378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479201280).

6945378000 is an abundant number, since it is smaller than the sum of its proper divisors (18013024560).

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

6945378000 is a wasteful number, since it uses less digits than its factorization.

6945378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6945378000 is about 83338.9344784297. The cubic root of 6945378000 is about 1907.9425594388.

The spelling of 6945378000 in words is "six billion, nine hundred forty-five million, three hundred seventy-eight thousand".