6712561440 has 576 divisors, whose sum is σ = 26153487360. Its totient is φ = 1556029440.

The previous prime is 6712561417. The next prime is 6712561441. The reversal of 6712561440 is 441652176.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6712561395 and 6712561404.

It is not an unprimeable number, because it can be changed into a prime (6712561441) 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, 24953626 + ... + 24953894.

It is an arithmetic number, because the mean of its divisors is an integer number (45405360).

Almost surely, 2^6712561440 is an apocalyptic number.

6712561440 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 6712561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13076743680).

6712561440 is an abundant number, since it is smaller than the sum of its proper divisors (19440925920).

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

6712561440 is a wasteful number, since it uses less digits than its factorization.

6712561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6712561440 is about 81930.2229949364. Note that the first 3 decimals coincide. The cubic root of 6712561440 is about 1886.3810483542.

The spelling of 6712561440 in words is "six billion, seven hundred twelve million, five hundred sixty-one thousand, four hundred forty".