6404912870400 has 1320 divisors, whose sum is σ = 26007681892896. Its totient is φ = 1544616345600.

The previous prime is 6404912870371. The next prime is 6404912870417. The reversal of 6404912870400 is 40782194046.

6404912870400 is a `hidden beast` number, since 6 + 40 + 491 + 2 + 87 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5177778582 + ... + 5177779818.

Almost surely, 2^{6404912870400} is an apocalyptic number.

6404912870400 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 6404912870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003840946448).

6404912870400 is an abundant number, since it is smaller than the sum of its proper divisors (19602769022496).

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

6404912870400 is a wasteful number, since it uses less digits than its factorization.

6404912870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6404912870400 in words is "six trillion, four hundred four billion, nine hundred twelve million, eight hundred seventy thousand, four hundred".