5429669760 has 192 divisors, whose sum is σ = 19444304880. Its totient is φ = 1447870464.

The previous prime is 5429669743. The next prime is 5429669779. The reversal of 5429669760 is 679669245.

5429669760 is a `hidden beast` number, since 542 + 9 + 6 + 6 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5429669697 and 5429669706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138064 + ... + 172976.

Almost surely, 2^5429669760 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 5429669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722152440).

5429669760 is an abundant number, since it is smaller than the sum of its proper divisors (14014635120).

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

5429669760 is an equidigital number, since it uses as much as digits as its factorization.

5429669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34947 (or 34923 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 5429669760 is about 73686.2928908763. The cubic root of 5429669760 is about 1757.6179206700.

The spelling of 5429669760 in words is "five billion, four hundred twenty-nine million, six hundred sixty-nine thousand, seven hundred sixty".