6714981504 has 768 divisors, whose sum is σ = 26281532160. Its totient is φ = 1592524800.

The previous prime is 6714981503. The next prime is 6714981529. The reversal of 6714981504 is 4051894176.

6714981504 is a `hidden beast` number, since 6 + 7 + 1 + 498 + 150 + 4 = 666.

It is a super-3 number, since 3×6714981504³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6714981504.

It is not an unprimeable number, because it can be changed into a prime (6714981503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91986012 + ... + 91986084.

It is an arithmetic number, because the mean of its divisors is an integer number (34220745).

Almost surely, 2^6714981504 is an apocalyptic number.

6714981504 is a gapful number since it is divisible by the number (64) 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 6714981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140766080).

6714981504 is an abundant number, since it is smaller than the sum of its proper divisors (19566550656).

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

6714981504 is a wasteful number, since it uses less digits than its factorization.

6714981504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

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

The square root of 6714981504 is about 81944.9907193844. The cubic root of 6714981504 is about 1886.6077186248.

The spelling of 6714981504 in words is "six billion, seven hundred fourteen million, nine hundred eighty-one thousand, five hundred four".