6673079064960 has 1728 divisors, whose sum is σ = 30558912143760. Its totient is φ = 1386422231040.

The previous prime is 6673079064943. The next prime is 6673079064973. The reversal of 6673079064960 is 694609703766.

6673079064960 is a `hidden beast` number, since 6 + 6 + 73 + 0 + 79 + 0 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 922074462 + ... + 922081698.

Almost surely, 2^{6673079064960} is an apocalyptic number.

6673079064960 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 6673079064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279456071880).

6673079064960 is an abundant number, since it is smaller than the sum of its proper divisors (23885833078800).

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

6673079064960 is a wasteful number, since it uses less digits than its factorization.

6673079064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 6673079064960 in words is "six trillion, six hundred seventy-three billion, seventy-nine million, sixty-four thousand, nine hundred sixty".