6724641504 has 96 divisors (see below), whose sum is σ = 20191804416. Its totient is φ = 1919623680.

The previous prime is 6724641493. The next prime is 6724641523. The reversal of 6724641504 is 4051464276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 887974 + ... + 895514.

It is an arithmetic number, because the mean of its divisors is an integer number (210331296).

Almost surely, 2^6724641504 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 6724641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10095902208).

6724641504 is an abundant number, since it is smaller than the sum of its proper divisors (13467162912).

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

6724641504 is a wasteful number, since it uses less digits than its factorization.

6724641504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 6724641504 is about 82003.9115164637. The cubic root of 6724641504 is about 1887.5119603002.

The spelling of 6724641504 in words is "six billion, seven hundred twenty-four million, six hundred forty-one thousand, five hundred four".