6945321984 has 132 divisors (see below), whose sum is σ = 19667313984. Its totient is φ = 2178646016.

The previous prime is 6945321979. The next prime is 6945321991. The reversal of 6945321984 is 4891235496.

It is a super-2 number, since 2×6945321984² = 96474994922867392512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 883897 + ... + 891719.

Almost surely, 2^6945321984 is an apocalyptic number.

6945321984 is a gapful number since it is divisible by the number (64) 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 6945321984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833656992).

6945321984 is an abundant number, since it is smaller than the sum of its proper divisors (12721992000).

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

6945321984 is a wasteful number, since it uses less digits than its factorization.

6945321984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880 (or 7845 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 6945321984 is about 83338.5984043408. The cubic root of 6945321984 is about 1907.9374300996.

The spelling of 6945321984 in words is "six billion, nine hundred forty-five million, three hundred twenty-one thousand, nine hundred eighty-four".