6354050398080 has 3072 divisors, whose sum is σ = 28037225226240. Its totient is φ = 1207664640000.

The previous prime is 6354050398051. The next prime is 6354050398093. The reversal of 6354050398080 is 808930504536.

It is a happy number.

It is a super-2 number, since 2×6354050398080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62911390030 + ... + 62911390130.

It is an arithmetic number, because the mean of its divisors is an integer number (9126700920).

Almost surely, 2^{6354050398080} is an apocalyptic number.

6354050398080 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 6354050398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018612613120).

6354050398080 is an abundant number, since it is smaller than the sum of its proper divisors (21683174828160).

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

6354050398080 is a wasteful number, since it uses less digits than its factorization.

6354050398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 6354050398080 in words is "six trillion, three hundred fifty-four billion, fifty million, three hundred ninety-eight thousand, eighty".