6948864000 has 720 divisors, whose sum is σ = 27909619920. Its totient is φ = 1651507200.

The previous prime is 6948863927. The next prime is 6948864001. The reversal of 6948864000 is 4688496.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3497066496 + 3451797504 = 59136^2 + 58752^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948864001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239615986 + ... + 239616014.

It is an arithmetic number, because the mean of its divisors is an integer number (38763361).

Almost surely, 2^6948864000 is an apocalyptic number.

6948864000 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 6948864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13954809960).

6948864000 is an abundant number, since it is smaller than the sum of its proper divisors (20960755920).

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

6948864000 is a wasteful number, since it uses less digits than its factorization.

6948864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6948864000 is about 83359.8464489949. The cubic root of 6948864000 is about 1908.2617153488.

The spelling of 6948864000 in words is "six billion, nine hundred forty-eight million, eight hundred sixty-four thousand".