6945886080 has 320 divisors, whose sum is σ = 28350067680. Its totient is φ = 1587548160.

The previous prime is 6945886039. The next prime is 6945886091. The reversal of 6945886080 is 806885496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353310 + ... + 372450.

Almost surely, 2^6945886080 is an apocalyptic number.

6945886080 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 6945886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175033840).

6945886080 is an abundant number, since it is smaller than the sum of its proper divisors (21404181600).

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

6945886080 is a wasteful number, since it uses less digits than its factorization.

6945886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19179 (or 19158 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 6945886080 is about 83341.9826977976. The cubic root of 6945886080 is about 1907.9890826479.

It can be divided in two parts, 6945 and 886080, that added together give a square (893025 = 945²).

The spelling of 6945886080 in words is "six billion, nine hundred forty-five million, eight hundred eighty-six thousand, eighty".