6293805798096 has 640 divisors, whose sum is σ = 19943294976000. Its totient is φ = 1894579974144.

The previous prime is 6293805798023. The next prime is 6293805798101. The reversal of 6293805798096 is 6908975083926.

6293805798096 is a `hidden beast` number, since 6 + 29 + 380 + 57 + 98 + 0 + 96 = 666.

It is a super-2 number, since 2×6293805798096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 1713530916 + ... + 1713534588.

It is an arithmetic number, because the mean of its divisors is an integer number (31161398400).

Almost surely, 2^{6293805798096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6293805798096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971647488000).

6293805798096 is an abundant number, since it is smaller than the sum of its proper divisors (13649489177904).

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

6293805798096 is a wasteful number, since it uses less digits than its factorization.

6293805798096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 6293805798096 in words is "six trillion, two hundred ninety-three billion, eight hundred five million, seven hundred ninety-eight thousand, ninety-six".