6164605440 has 800 divisors, whose sum is σ = 26238034944. Its totient is φ = 1353646080.

The previous prime is 6164605439. The next prime is 6164605451. The reversal of 6164605440 is 445064616.

6164605440 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 605 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6164605395 and 6164605404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44997052 + ... + 44997188.

Almost surely, 2^6164605440 is an apocalyptic number.

6164605440 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 6164605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119017472).

6164605440 is an abundant number, since it is smaller than the sum of its proper divisors (20073429504).

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

6164605440 is a wasteful number, since it uses less digits than its factorization.

6164605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6164605440 is about 78515.0013691651. The cubic root of 6164605440 is about 1833.5880156011.

The spelling of 6164605440 in words is "six billion, one hundred sixty-four million, six hundred five thousand, four hundred forty".