6716984460480 has 4032 divisors, whose sum is σ = 31447939461120. Its totient is φ = 1354442342400.

The previous prime is 6716984460457. The next prime is 6716984460481. The reversal of 6716984460480 is 840644896176.

6716984460480 is a `hidden beast` number, since 6 + 7 + 1 + 6 + 98 + 4 + 4 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6716984460481) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 92013485724 + ... + 92013485796.

It is an arithmetic number, because the mean of its divisors is an integer number (7799588160).

Almost surely, 2^{6716984460480} is an apocalyptic number.

6716984460480 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 6716984460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723969730560).

6716984460480 is an abundant number, since it is smaller than the sum of its proper divisors (24730955000640).

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

6716984460480 is a wasteful number, since it uses less digits than its factorization.

6716984460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6716984460480 in words is "six trillion, seven hundred sixteen billion, nine hundred eighty-four million, four hundred sixty thousand, four hundred eighty".