6129406080 has 960 divisors, whose sum is σ = 27014169600. Its totient is φ = 1316818944.

The previous prime is 6129406067. The next prime is 6129406081. The reversal of 6129406080 is 806049216.

6129406080 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 40 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (6129406081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48262977 + ... + 48263103.

It is an arithmetic number, because the mean of its divisors is an integer number (28139760).

Almost surely, 2^6129406080 is an apocalyptic number.

6129406080 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 6129406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507084800).

6129406080 is an abundant number, since it is smaller than the sum of its proper divisors (20884763520).

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

6129406080 is a wasteful number, since it uses less digits than its factorization.

6129406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6129406080 is about 78290.5235644775. The cubic root of 6129406080 is about 1830.0914762120.

The spelling of 6129406080 in words is "six billion, one hundred twenty-nine million, four hundred six thousand, eighty".