6945000652800 has 2052 divisors, whose sum is σ = 30349359626040. Its totient is φ = 1569592442880.

The previous prime is 6945000652699. The next prime is 6945000652819. The reversal of 6945000652800 is 82560005496.

6945000652800 is a `hidden beast` number, since 6 + 9 + 4 + 500 + 0 + 65 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×6945000652800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 78033715156 + ... + 78033715244.

It is an arithmetic number, because the mean of its divisors is an integer number (14790136270).

Almost surely, 2^{6945000652800} is an apocalyptic number.

6945000652800 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 6945000652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174679813020).

6945000652800 is an abundant number, since it is smaller than the sum of its proper divisors (23404358973240).

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

6945000652800 is an frugal number, since it uses more digits than its factorization.

6945000652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 6945000652800 in words is "six trillion, nine hundred forty-five billion, six hundred fifty-two thousand, eight hundred".