6674388180480 has 800 divisors, whose sum is σ = 25727534046720. Its totient is φ = 1647626158080.

The previous prime is 6674388180389. The next prime is 6674388180529. The reversal of 6674388180480 is 840818834766.

6674388180480 is a `hidden beast` number, since 6 + 6 + 7 + 438 + 81 + 80 + 48 + 0 = 666.

It is a super-2 number, since 2×6674388180480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215016801 + ... + 215047839.

Almost surely, 2^{6674388180480} is an apocalyptic number.

6674388180480 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 6674388180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863767023360).

6674388180480 is an abundant number, since it is smaller than the sum of its proper divisors (19053145866240).

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

6674388180480 is a wasteful number, since it uses less digits than its factorization.

6674388180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31152 (or 31127 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 6674388180480 in words is "six trillion, six hundred seventy-four billion, three hundred eighty-eight million, one hundred eighty thousand, four hundred eighty".