6721460460 has 576 divisors, whose sum is σ = 25488247680. Its totient is φ = 1459814400.

The previous prime is 6721460423. The next prime is 6721460467. The reversal of 6721460460 is 640641276.

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

It is not an unprimeable number, because it can be changed into a prime (6721460467) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34826124 + ... + 34826316.

It is an arithmetic number, because the mean of its divisors is an integer number (44250430).

Almost surely, 2^6721460460 is an apocalyptic number.

6721460460 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 6721460460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744123840).

6721460460 is an abundant number, since it is smaller than the sum of its proper divisors (18766787220).

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

6721460460 is a wasteful number, since it uses less digits than its factorization.

6721460460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6721460460 is about 81984.5135376188. The cubic root of 6721460460 is about 1887.2142886400.

The spelling of 6721460460 in words is "six billion, seven hundred twenty-one million, four hundred sixty thousand, four hundred sixty".