6973248000 has 160 divisors (see below), whose sum is σ = 23184944640. Its totient is φ = 1859481600.

The previous prime is 6973247993. The next prime is 6973248049. The reversal of 6973248000 is 8423796.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 6973248000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173841 + ... + 210159.

It is an arithmetic number, because the mean of its divisors is an integer number (144905904).

Almost surely, 2^6973248000 is an apocalyptic number.

6973248000 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 6973248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592472320).

6973248000 is an abundant number, since it is smaller than the sum of its proper divisors (16211696640).

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

6973248000 is an equidigital number, since it uses as much as digits as its factorization.

6973248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36355 (or 36329 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6973248000 is about 83505.9758340683. The cubic root of 6973248000 is about 1910.4911796530.

The spelling of 6973248000 in words is "six billion, nine hundred seventy-three million, two hundred forty-eight thousand".