6406345436400 has 5400 divisors, whose sum is σ = 33171369240240. Its totient is φ = 1166325350400.

The previous prime is 6406345436357. The next prime is 6406345436453. The reversal of 6406345436400 is 46345436046.

6406345436400 is a `hidden beast` number, since 6 + 4 + 0 + 63 + 4 + 543 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

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 1079 ways as a sum of consecutive naturals, for example, 206656304385 + ... + 206656304415.

Almost surely, 2^{6406345436400} is an apocalyptic number.

6406345436400 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 6406345436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585684620120).

6406345436400 is an abundant number, since it is smaller than the sum of its proper divisors (26765023803840).

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

6406345436400 is a wasteful number, since it uses less digits than its factorization.

6406345436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 6406345436400 in words is "six trillion, four hundred six billion, three hundred forty-five million, four hundred thirty-six thousand, four hundred".