6498135705600 has 6048 divisors, whose sum is σ = 34166017922400. Its totient is φ = 1203948748800.

The previous prime is 6498135705577. The next prime is 6498135705631. The reversal of 6498135705600 is 65075318946.

6498135705600 is a `hidden beast` number, since 6 + 4 + 9 + 8 + 1 + 3 + 5 + 70 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 342007142391 + ... + 342007142409.

It is an arithmetic number, because the mean of its divisors is an integer number (5649143175).

Almost surely, 2^{6498135705600} is an apocalyptic number.

6498135705600 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 6498135705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083008961200).

6498135705600 is an abundant number, since it is smaller than the sum of its proper divisors (27667882216800).

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

6498135705600 is a wasteful number, since it uses less digits than its factorization.

6498135705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 6498135705600 in words is "six trillion, four hundred ninety-eight billion, one hundred thirty-five million, seven hundred five thousand, six hundred".