6720704317440 has 960 divisors, whose sum is σ = 24604014314880. Its totient is φ = 1754325319680.

The previous prime is 6720704317427. The next prime is 6720704317441. The reversal of 6720704317440 is 447134070276.

6720704317440 is a `hidden beast` number, since 6 + 7 + 207 + 0 + 431 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (6720704317441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8286934635 + ... + 8286935445.

It is an arithmetic number, because the mean of its divisors is an integer number (25629181578).

Almost surely, 2^{6720704317440} is an apocalyptic number.

6720704317440 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 6720704317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12302007157440).

6720704317440 is an abundant number, since it is smaller than the sum of its proper divisors (17883309997440).

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

6720704317440 is a wasteful number, since it uses less digits than its factorization.

6720704317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 6720704317440 in words is "six trillion, seven hundred twenty billion, seven hundred four million, three hundred seventeen thousand, four hundred forty".