6393290342400 has 1800 divisors, whose sum is σ = 26031146528464. Its totient is φ = 1547934105600.

The previous prime is 6393290342377. The next prime is 6393290342419. The reversal of 6393290342400 is 42430923936.

6393290342400 is a `hidden beast` number, since 6 + 3 + 93 + 290 + 34 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×6393290342400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104808038370 + ... + 104808038430.

Almost surely, 2^{6393290342400} is an apocalyptic number.

6393290342400 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 6393290342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015573264232).

6393290342400 is an abundant number, since it is smaller than the sum of its proper divisors (19637856186064).

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

6393290342400 is an frugal number, since it uses more digits than its factorization.

6393290342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 6393290342400 in words is "six trillion, three hundred ninety-three billion, two hundred ninety million, three hundred forty-two thousand, four hundred".