6721752314880 has 616 divisors, whose sum is σ = 24390905794632. Its totient is φ = 1776493264896.

The previous prime is 6721752314857. The next prime is 6721752314887. The reversal of 6721752314880 is 884132571276.

6721752314880 is a `hidden beast` number, since 6 + 7 + 21 + 7 + 523 + 14 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65847665664 + 6655904649216 = 256608^2 + 2579904^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6721752314887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 421762272 + ... + 421778208.

Almost surely, 2^{6721752314880} is an apocalyptic number.

6721752314880 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 6721752314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195452897316).

6721752314880 is an abundant number, since it is smaller than the sum of its proper divisors (17669153479752).

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

6721752314880 is a wasteful number, since it uses less digits than its factorization.

6721752314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16093 (or 16060 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 6721752314880 in words is "six trillion, seven hundred twenty-one billion, seven hundred fifty-two million, three hundred fourteen thousand, eight hundred eighty".