5429761200 has 180 divisors, whose sum is σ = 19302884328. Its totient is φ = 1412582400.

The previous prime is 5429761163. The next prime is 5429761201. The reversal of 5429761200 is 21679245.

5429761200 is a `hidden beast` number, since 542 + 97 + 6 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5429761201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129207 + ... + 165993.

Almost surely, 2^5429761200 is an apocalyptic number.

5429761200 is a gapful number since it is divisible by the number (50) 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 5429761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651442164).

5429761200 is an abundant number, since it is smaller than the sum of its proper divisors (13873123128).

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

5429761200 is a wasteful number, since it uses less digits than its factorization.

5429761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36852 (or 36838 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5429761200 is about 73686.9133564434. The cubic root of 5429761200 is about 1757.6277871805.

The spelling of 5429761200 in words is "five billion, four hundred twenty-nine million, seven hundred sixty-one thousand, two hundred".