6484211129088 has 3024 divisors, whose sum is σ = 27383891189760. Its totient is φ = 1489886576640.

The previous prime is 6484211129083. The next prime is 6484211129117. The reversal of 6484211129088 is 8809211124846.

6484211129088 is a `hidden beast` number, since 6 + 48 + 421 + 1 + 12 + 90 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6484211129083) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 51056780481 + ... + 51056780607.

Almost surely, 2^{6484211129088} is an apocalyptic number.

6484211129088 is a gapful number since it is divisible by the number (68) 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 6484211129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13691945594880).

6484211129088 is an abundant number, since it is smaller than the sum of its proper divisors (20899680060672).

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

6484211129088 is a wasteful number, since it uses less digits than its factorization.

6484211129088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 6484211129088 in words is "six trillion, four hundred eighty-four billion, two hundred eleven million, one hundred twenty-nine thousand, eighty-eight".