6498934041600 has 5280 divisors, whose sum is σ = 33683276132352. Its totient is φ = 1194393600000.

The previous prime is 6498934041571. The next prime is 6498934041623. The reversal of 6498934041600 is 61404398946.

It is a happy number.

6498934041600 is a `hidden beast` number, since 6 + 4 + 98 + 93 + 404 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-3 number, since 3×6498934041600³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 64345881550 + ... + 64345881650.

Almost surely, 2^{6498934041600} is an apocalyptic number.

6498934041600 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 6498934041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841638066176).

6498934041600 is an abundant number, since it is smaller than the sum of its proper divisors (27184342090752).

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

6498934041600 is a wasteful number, since it uses less digits than its factorization.

6498934041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 6498934041600 in words is "six trillion, four hundred ninety-eight billion, nine hundred thirty-four million, forty-one thousand, six hundred".