6712248960 has 192 divisors, whose sum is σ = 23926556160. Its totient is φ = 1732147200.

The previous prime is 6712248947. The next prime is 6712248989. The reversal of 6712248960 is 698422176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6712248960² = 90108572202042163200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 159765 + ... + 197355.

It is an arithmetic number, because the mean of its divisors is an integer number (124617480).

Almost surely, 2^6712248960 is an apocalyptic number.

6712248960 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 6712248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963278080).

6712248960 is an abundant number, since it is smaller than the sum of its proper divisors (17214307200).

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

6712248960 is a wasteful number, since it uses less digits than its factorization.

6712248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37647 (or 37632 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6712248960 is about 81928.3159841578. The cubic root of 6712248960 is about 1886.3517765925.

The spelling of 6712248960 in words is "six billion, seven hundred twelve million, two hundred forty-eight thousand, nine hundred sixty".