6973252704 has 144 divisors (see below), whose sum is σ = 21681825984. Its totient is φ = 2108332800.

The previous prime is 6973252673. The next prime is 6973252709. The reversal of 6973252704 is 4072523796.

6973252704 is a `hidden beast` number, since 6 + 97 + 32 + 527 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 6973252704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6973252709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553247 + ... + 1557729.

It is an arithmetic number, because the mean of its divisors is an integer number (150568236).

Almost surely, 2^6973252704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6973252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840912992).

6973252704 is an abundant number, since it is smaller than the sum of its proper divisors (14708573280).

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

6973252704 is a wasteful number, since it uses less digits than its factorization.

6973252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6973252704 is about 83506.0039997125. The cubic root of 6973252704 is about 1910.4916092447.

The spelling of 6973252704 in words is "six billion, nine hundred seventy-three million, two hundred fifty-two thousand, seven hundred four".