6677872419024 has 320 divisors, whose sum is σ = 20668143820800. Its totient is φ = 2058903525888.

The previous prime is 6677872419007. The next prime is 6677872419191. The reversal of 6677872419024 is 4209142787766.

6677872419024 is a `hidden beast` number, since 6 + 67 + 78 + 72 + 419 + 0 + 24 = 666.

It is a super-2 number, since 2×6677872419024² (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 63 ways as a sum of consecutive naturals, for example, 59868297 + ... + 59979735.

It is an arithmetic number, because the mean of its divisors is an integer number (64587949440).

Almost surely, 2^{6677872419024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677872419024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334071910400).

6677872419024 is an abundant number, since it is smaller than the sum of its proper divisors (13990271401776).

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

6677872419024 is a wasteful number, since it uses less digits than its factorization.

6677872419024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111679 (or 111667 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

It can be divided in two parts, 6677872 and 419024, that added together give a square (7096896 = 2664²).

The spelling of 6677872419024 in words is "six trillion, six hundred seventy-seven billion, eight hundred seventy-two million, four hundred nineteen thousand, twenty-four".