6349219430400 has 1920 divisors, whose sum is σ = 29208434112000. Its totient is φ = 1313656012800.

The previous prime is 6349219430387. The next prime is 6349219430473. The reversal of 6349219430400 is 40349129436.

6349219430400 is a `hidden beast` number, since 6 + 3 + 492 + 1 + 94 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 95 ways as a sum of consecutive naturals, for example, 27249868684 + ... + 27249868916.

It is an arithmetic number, because the mean of its divisors is an integer number (15212726100).

Almost surely, 2^{6349219430400} is an apocalyptic number.

6349219430400 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 6349219430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604217056000).

6349219430400 is an abundant number, since it is smaller than the sum of its proper divisors (22859214681600).

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

6349219430400 is an equidigital number, since it uses as much as digits as its factorization.

6349219430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 6349219430400 in words is "six trillion, three hundred forty-nine billion, two hundred nineteen million, four hundred thirty thousand, four hundred".