6129224640 has 1120 divisors, whose sum is σ = 28253643264. Its totient is φ = 1224253440.

The previous prime is 6129224627. The next prime is 6129224657. The reversal of 6129224640 is 464229216.

6129224640 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a junction number, because it is equal to n+sod(n) for n = 6129224595 and 6129224604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73846039 + ... + 73846121.

Almost surely, 2^6129224640 is an apocalyptic number.

6129224640 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 6129224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126821632).

6129224640 is an abundant number, since it is smaller than the sum of its proper divisors (22124418624).

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

6129224640 is a wasteful number, since it uses less digits than its factorization.

6129224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6129224640 is about 78289.3647949707. The cubic root of 6129224640 is about 1830.0734181778.

The spelling of 6129224640 in words is "six billion, one hundred twenty-nine million, two hundred twenty-four thousand, six hundred forty".