6482420053200 has 3600 divisors, whose sum is σ = 31296966032640. Its totient is φ = 1269789696000.

The previous prime is 6482420053199. The next prime is 6482420053229. The reversal of 6482420053200 is 23500242846.

6482420053200 is a `hidden beast` number, since 6 + 4 + 82 + 42 + 0 + 0 + 532 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×6482420053200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 23920369065 + ... + 23920369335.

Almost surely, 2^{6482420053200} is an apocalyptic number.

6482420053200 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 6482420053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648483016320).

6482420053200 is an abundant number, since it is smaller than the sum of its proper divisors (24814545979440).

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

6482420053200 is a wasteful number, since it uses less digits than its factorization.

6482420053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 6482420053200 in words is "six trillion, four hundred eighty-two billion, four hundred twenty million, fifty-three thousand, two hundred".