6573729032640 has 1008 divisors, whose sum is σ = 30203920206720. Its totient is φ = 1294070722560.

The previous prime is 6573729032639. The next prime is 6573729032669. The reversal of 6573729032640 is 462309273756.

6573729032640 is a `hidden beast` number, since 6 + 5 + 7 + 372 + 9 + 0 + 3 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29382639 + ... + 29605521.

Almost surely, 2^{6573729032640} is an apocalyptic number.

6573729032640 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 6573729032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101960103360).

6573729032640 is an abundant number, since it is smaller than the sum of its proper divisors (23630191174080).

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

6573729032640 is a wasteful number, since it uses less digits than its factorization.

6573729032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222950 (or 222930 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 6573729032640 in words is "six trillion, five hundred seventy-three billion, seven hundred twenty-nine million, thirty-two thousand, six hundred forty".