5429168640 has 640 divisors, whose sum is σ = 22587840000. Its totient is φ = 1235533824.

The previous prime is 5429168621. The next prime is 5429168681. The reversal of 5429168640 is 468619245.

5429168640 is a `hidden beast` number, since 5 + 429 + 168 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23708046 + ... + 23708274.

It is an arithmetic number, because the mean of its divisors is an integer number (35293500).

Almost surely, 2^5429168640 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 5429168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293920000).

5429168640 is an abundant number, since it is smaller than the sum of its proper divisors (17158671360).

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

5429168640 is an equidigital number, since it uses as much as digits as its factorization.

5429168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5429168640 is about 73682.8924513689. The cubic root of 5429168640 is about 1757.5638471180.

The spelling of 5429168640 in words is "five billion, four hundred twenty-nine million, one hundred sixty-eight thousand, six hundred forty".