6025153680 has 960 divisors, whose sum is σ = 27073267200. Its totient is φ = 1219276800.

The previous prime is 6025153663. The next prime is 6025153681. The reversal of 6025153680 is 863515206.

6025153680 is a `hidden beast` number, since 60 + 2 + 515 + 3 + 6 + 80 = 666.

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 (6025153681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39901605 + ... + 39901755.

It is an arithmetic number, because the mean of its divisors is an integer number (28201320).

Almost surely, 2^6025153680 is an apocalyptic number.

6025153680 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 6025153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536633600).

6025153680 is an abundant number, since it is smaller than the sum of its proper divisors (21048113520).

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

6025153680 is a wasteful number, since it uses less digits than its factorization.

6025153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6025153680 is about 77621.8634148910. The cubic root of 6025153680 is about 1819.6563453712.

Adding to 6025153680 its reverse (863515206), we get a palindrome (6888668886).

The spelling of 6025153680 in words is "six billion, twenty-five million, one hundred fifty-three thousand, six hundred eighty".