6165561600 has 648 divisors, whose sum is σ = 24791038272. Its totient is φ = 1448755200.

The previous prime is 6165561551. The next prime is 6165561643. The reversal of 6165561600 is 61655616.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23443069 + ... + 23443331.

Almost surely, 2^6165561600 is an apocalyptic number.

6165561600 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 6165561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395519136).

6165561600 is an abundant number, since it is smaller than the sum of its proper divisors (18625476672).

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

6165561600 is a wasteful number, since it uses less digits than its factorization.

6165561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6165561600 is about 78521.0901605422. The cubic root of 6165561600 is about 1833.6828101449.

6165561600 divided by its reverse (61655616) gives a square (100 = 10²).

It can be divided in two parts, 6165 and 561600, that added together give a palindrome (567765).

The spelling of 6165561600 in words is "six billion, one hundred sixty-five million, five hundred sixty-one thousand, six hundred".