6717020048640 has 1440 divisors, whose sum is σ = 26697885806592. Its totient is φ = 1598994432000.

The previous prime is 6717020048617. The next prime is 6717020048707. The reversal of 6717020048640 is 468400207176.

6717020048640 is a `hidden beast` number, since 67 + 1 + 70 + 2 + 0 + 0 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 24786051705 + ... + 24786051975.

Almost surely, 2^{6717020048640} is an apocalyptic number.

6717020048640 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 6717020048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348942903296).

6717020048640 is an abundant number, since it is smaller than the sum of its proper divisors (19980865757952).

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

6717020048640 is a wasteful number, since it uses less digits than its factorization.

6717020048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 6717020048640 in words is "six trillion, seven hundred seventeen billion, twenty million, forty-eight thousand, six hundred forty".