6641759142720 has 1792 divisors, whose sum is σ = 27076305715200. Its totient is φ = 1520104734720.

The previous prime is 6641759142703. The next prime is 6641759142731. The reversal of 6641759142720 is 272419571466.

6641759142720 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 7 + 591 + 4 + 27 + 20 = 666.

It is a super-2 number, since 2×6641759142720² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24508336185 + ... + 24508336455.

It is an arithmetic number, because the mean of its divisors is an integer number (15109545600).

Almost surely, 2^{6641759142720} is an apocalyptic number.

6641759142720 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 6641759142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538152857600).

6641759142720 is an abundant number, since it is smaller than the sum of its proper divisors (20434546572480).

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

6641759142720 is a wasteful number, since it uses less digits than its factorization.

6641759142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 6641759142720 in words is "six trillion, six hundred forty-one billion, seven hundred fifty-nine million, one hundred forty-two thousand, seven hundred twenty".