6126625200 has 120 divisors (see below), whose sum is σ = 19683202000. Its totient is φ = 1628974080.

The previous prime is 6126625187. The next prime is 6126625213. The reversal of 6126625200 is 25266216.

It is an interprime number because it is at equal distance from previous prime (6126625187) and next prime (6126625213).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411486 + ... + 426114.

Almost surely, 2^6126625200 is an apocalyptic number.

6126625200 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 6126625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841601000).

6126625200 is an abundant number, since it is smaller than the sum of its proper divisors (13556576800).

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

6126625200 is a wasteful number, since it uses less digits than its factorization.

6126625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14999 (or 14988 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6126625200 is about 78272.7615457638. The cubic root of 6126625200 is about 1829.8146666501.

The spelling of 6126625200 in words is "six billion, one hundred twenty-six million, six hundred twenty-five thousand, two hundred".