6165438720 has 576 divisors, whose sum is σ = 23860838400. Its totient is φ = 1354752000.

The previous prime is 6165438707. The next prime is 6165438731. The reversal of 6165438720 is 278345616.

It is a super-2 number, since 2×6165438720² = 76025269220150476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40830645 + ... + 40830795.

Almost surely, 2^6165438720 is an apocalyptic number.

6165438720 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 6165438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930419200).

6165438720 is an abundant number, since it is smaller than the sum of its proper divisors (17695399680).

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

6165438720 is a wasteful number, since it uses less digits than its factorization.

6165438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 6165438720 is about 78520.3076917048. The cubic root of 6165438720 is about 1833.6706282624.

The spelling of 6165438720 in words is "six billion, one hundred sixty-five million, four hundred thirty-eight thousand, seven hundred twenty".