6673532785920 has 5184 divisors, whose sum is σ = 34386450739200. Its totient is φ = 1195587993600.

The previous prime is 6673532785919. The next prime is 6673532785949. The reversal of 6673532785920 is 295872353766.

It is a happy number.

6673532785920 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 5 + 32 + 7 + 8 + 592 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 93993419485 + ... + 93993419555.

It is an arithmetic number, because the mean of its divisors is an integer number (6633188800).

Almost surely, 2^{6673532785920} is an apocalyptic number.

6673532785920 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 6673532785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193225369600).

6673532785920 is an abundant number, since it is smaller than the sum of its proper divisors (27712917953280).

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

6673532785920 is a wasteful number, since it uses less digits than its factorization.

6673532785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 6673532785920 in words is "six trillion, six hundred seventy-three billion, five hundred thirty-two million, seven hundred eighty-five thousand, nine hundred twenty".