6714534960 has 320 divisors, whose sum is σ = 26526873600. Its totient is φ = 1529238528.

The previous prime is 6714534907. The next prime is 6714534979. The reversal of 6714534960 is 694354176.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5427462 + ... + 5428698.

It is an arithmetic number, because the mean of its divisors is an integer number (82896480).

Almost surely, 2^6714534960 is an apocalyptic number.

6714534960 is a gapful number since it is divisible by the number (60) 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 6714534960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263436800).

6714534960 is an abundant number, since it is smaller than the sum of its proper divisors (19812338640).

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

6714534960 is a wasteful number, since it uses less digits than its factorization.

6714534960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6714534960 is about 81942.2660169952. The cubic root of 6714534960 is about 1886.5658981059.

The spelling of 6714534960 in words is "six billion, seven hundred fourteen million, five hundred thirty-four thousand, nine hundred sixty".