6674011932672 has 768 divisors, whose sum is σ = 24149518848000. Its totient is φ = 1777731895296.

The previous prime is 6674011932659. The next prime is 6674011932673. The reversal of 6674011932672 is 2762391104766.

6674011932672 is a `hidden beast` number, since 6 + 67 + 401 + 1 + 93 + 26 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×6674011932672² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6674011932673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704079229 + ... + 704088707.

It is an arithmetic number, because the mean of its divisors is an integer number (31444686000).

Almost surely, 2^{6674011932672} 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 6674011932672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074759424000).

6674011932672 is an abundant number, since it is smaller than the sum of its proper divisors (17475506915328).

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

6674011932672 is a wasteful number, since it uses less digits than its factorization.

6674011932672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 6674011932672 in words is "six trillion, six hundred seventy-four billion, eleven million, nine hundred thirty-two thousand, six hundred seventy-two".