6984721152 has 144 divisors (see below), whose sum is σ = 20748480480. Its totient is φ = 2317713408.

The previous prime is 6984721151. The next prime is 6984721153. The reversal of 6984721152 is 2511274896.

6984721152 is a `hidden beast` number, since 69 + 8 + 472 + 115 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6984721151) and next prime (6984721153).

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

It is a junction number, because it is equal to n+sod(n) for n = 6984721098 and 6984721107.

It is not an unprimeable number, because it can be changed into a prime (6984721151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1608328 + ... + 1612664.

It is an arithmetic number, because the mean of its divisors is an integer number (144086670).

Almost surely, 2^6984721152 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 6984721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374240240).

6984721152 is an abundant number, since it is smaller than the sum of its proper divisors (13763759328).

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

6984721152 is a wasteful number, since it uses less digits than its factorization.

6984721152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595 (or 4575 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 6984721152 is about 83574.6441930805. The cubic root of 6984721152 is about 1911.5383887058.

The spelling of 6984721152 in words is "six billion, nine hundred eighty-four million, seven hundred twenty-one thousand, one hundred fifty-two".