6724618464 has 144 divisors (see below), whose sum is σ = 18879291648. Its totient is φ = 2095331328.

The previous prime is 6724618463. The next prime is 6724618507. The reversal of 6724618464 is 4648164276.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6724618463) 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, 4521529 + ... + 4523015.

It is an arithmetic number, because the mean of its divisors is an integer number (131106192).

Almost surely, 2^6724618464 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 6724618464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439645824).

6724618464 is an abundant number, since it is smaller than the sum of its proper divisors (12154673184).

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

6724618464 is a wasteful number, since it uses less digits than its factorization.

6724618464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1672 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 6724618464 is about 82003.7710352396. The cubic root of 6724618464 is about 1887.5098046302.

The spelling of 6724618464 in words is "six billion, seven hundred twenty-four million, six hundred eighteen thousand, four hundred sixty-four".