6493328971200 has 672 divisors, whose sum is σ = 24610952982720. Its totient is φ = 1684722032640.

The previous prime is 6493328971169. The next prime is 6493328971301. The reversal of 6493328971200 is 21798233946.

6493328971200 is a `hidden beast` number, since 6 + 4 + 93 + 3 + 289 + 71 + 200 = 666.

It is a super-2 number, since 2×6493328971200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129445324 + ... + 129495476.

Almost surely, 2^{6493328971200} is an apocalyptic number.

6493328971200 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 6493328971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305476491360).

6493328971200 is an abundant number, since it is smaller than the sum of its proper divisors (18117624011520).

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

6493328971200 is an equidigital number, since it uses as much as digits as its factorization.

6493328971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50233 (or 50200 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6493328971200 in words is "six trillion, four hundred ninety-three billion, three hundred twenty-eight million, nine hundred seventy-one thousand, two hundred".