6720335216640 has 1536 divisors, whose sum is σ = 25969224153600. Its totient is φ = 1663020564480.

The previous prime is 6720335216611. The next prime is 6720335216701. The reversal of 6720335216640 is 466125330276.

6720335216640 is a `hidden beast` number, since 6 + 7 + 20 + 3 + 3 + 521 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37543772071 + ... + 37543772249.

It is an arithmetic number, because the mean of its divisors is an integer number (16907046975).

Almost surely, 2^{6720335216640} is an apocalyptic number.

6720335216640 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 6720335216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984612076800).

6720335216640 is an abundant number, since it is smaller than the sum of its proper divisors (19248888936960).

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

6720335216640 is an equidigital number, since it uses as much as digits as its factorization.

6720335216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 6720335216640 in words is "six trillion, seven hundred twenty billion, three hundred thirty-five million, two hundred sixteen thousand, six hundred forty".