6129200880 has 320 divisors, whose sum is σ = 24244876800. Its totient is φ = 1407559680.

The previous prime is 6129200879. The next prime is 6129200881. The reversal of 6129200880 is 880029216.

It is an interprime number because it is at equal distance from previous prime (6129200879) and next prime (6129200881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6129200881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444652 + ... + 458228.

It is an arithmetic number, because the mean of its divisors is an integer number (75765240).

Almost surely, 2^6129200880 is an apocalyptic number.

6129200880 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 6129200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122438400).

6129200880 is an abundant number, since it is smaller than the sum of its proper divisors (18115675920).

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

6129200880 is a wasteful number, since it uses less digits than its factorization.

6129200880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13629 (or 13617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6129200880 is about 78289.2130500748. The cubic root of 6129200880 is about 1830.0710534089.

The spelling of 6129200880 in words is "six billion, one hundred twenty-nine million, two hundred thousand, eight hundred eighty".