6293420468160 has 448 divisors, whose sum is σ = 23033908638720. Its totient is φ = 1426066145280.

The previous prime is 6293420468131. The next prime is 6293420468197. The reversal of 6293420468160 is 618640243926.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746634826 + ... + 746643254.

It is an arithmetic number, because the mean of its divisors is an integer number (51414974640).

Almost surely, 2^{6293420468160} is an apocalyptic number.

6293420468160 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 6293420468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516954319360).

6293420468160 is an abundant number, since it is smaller than the sum of its proper divisors (16740488170560).

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

6293420468160 is a wasteful number, since it uses less digits than its factorization.

6293420468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 6293420468160 in words is "six trillion, two hundred ninety-three billion, four hundred twenty million, four hundred sixty-eight thousand, one hundred sixty".