6430120416 has 96 divisors (see below), whose sum is σ = 18965469600. Its totient is φ = 2119265280.

The previous prime is 6430120357. The next prime is 6430120427. The reversal of 6430120416 is 6140210346.

6430120416 is a `hidden beast` number, since 643 + 0 + 1 + 2 + 0 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6430120416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35086 + ... + 118706.

It is an arithmetic number, because the mean of its divisors is an integer number (197556975).

Almost surely, 2^6430120416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6430120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482734800).

6430120416 is an abundant number, since it is smaller than the sum of its proper divisors (12535349184).

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

6430120416 is a wasteful number, since it uses less digits than its factorization.

6430120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83729 (or 83715 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6430120416 is about 80188.0316256734. The cubic root of 6430120416 is about 1859.5436133121.

The spelling of 6430120416 in words is "six billion, four hundred thirty million, one hundred twenty thousand, four hundred sixteen".