6430964513400 has 1152 divisors, whose sum is σ = 26765546895360. Its totient is φ = 1350236160000.

The previous prime is 6430964513387. The next prime is 6430964513419. The reversal of 6430964513400 is 43154690346.

6430964513400 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 96 + 4 + 513 + 40 + 0 = 666.

It is a super-2 number, since 2×6430964513400² (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 287 ways as a sum of consecutive naturals, for example, 4943092750 + ... + 4943094050.

It is an arithmetic number, because the mean of its divisors is an integer number (23233981680).

Almost surely, 2^{6430964513400} is an apocalyptic number.

6430964513400 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 6430964513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382773447680).

6430964513400 is an abundant number, since it is smaller than the sum of its proper divisors (20334582381960).

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

6430964513400 is a wasteful number, since it uses less digits than its factorization.

6430964513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 6430964513400 in words is "six trillion, four hundred thirty billion, nine hundred sixty-four million, five hundred thirteen thousand, four hundred".