6165547440 has 320 divisors, whose sum is σ = 21658613760. Its totient is φ = 1439539200.

The previous prime is 6165547439. The next prime is 6165547457. The reversal of 6165547440 is 447455616.

It is a Cunningham number, because it is equal to 78521²-1.

It is a junction number, because it is equal to n+sod(n) for n = 6165547392 and 6165547401.

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, 10835476 + ... + 10836044.

It is an arithmetic number, because the mean of its divisors is an integer number (67683168).

Almost surely, 2^6165547440 is an apocalyptic number.

6165547440 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 6165547440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829306880).

6165547440 is an abundant number, since it is smaller than the sum of its proper divisors (15493066320).

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

6165547440 is a wasteful number, since it uses less digits than its factorization.

6165547440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 6165547440 is about 78520.9999936323. Note that the first 5 decimals coincide. The cubic root of 6165547440 is about 1833.6814063815.

The spelling of 6165547440 in words is "six billion, one hundred sixty-five million, five hundred forty-seven thousand, four hundred forty".