6101625600 has 648 divisors, whose sum is σ = 25667489120. Its totient is φ = 1353646080.

The previous prime is 6101625559. The next prime is 6101625641. The reversal of 6101625600 is 65261016.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6101625559) and next prime (6101625641).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14918196 + ... + 14918604.

Almost surely, 2^6101625600 is an apocalyptic number.

6101625600 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 6101625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833744560).

6101625600 is an abundant number, since it is smaller than the sum of its proper divisors (19565863520).

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

6101625600 is a wasteful number, since it uses less digits than its factorization.

6101625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6101625600 is about 78112.9029034256. The cubic root of 6101625600 is about 1827.3224301810.

Adding to 6101625600 its reverse (65261016), we get a palindrome (6166886616).

The spelling of 6101625600 in words is "six billion, one hundred one million, six hundred twenty-five thousand, six hundred".