6045661440 has 864 divisors, whose sum is σ = 26427448320. Its totient is φ = 1242169344.

The previous prime is 6045661439. The next prime is 6045661459. The reversal of 6045661440 is 441665406.

6045661440 is a `hidden beast` number, since 60 + 456 + 6 + 144 + 0 = 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 = 6045661395 and 6045661404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76527321 + ... + 76527399.

Almost surely, 2^6045661440 is an apocalyptic number.

6045661440 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 6045661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213724160).

6045661440 is an abundant number, since it is smaller than the sum of its proper divisors (20381786880).

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

6045661440 is a wasteful number, since it uses less digits than its factorization.

6045661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

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

The square root of 6045661440 is about 77753.8516087788. The cubic root of 6045661440 is about 1821.7185233048.

The spelling of 6045661440 in words is "six billion, forty-five million, six hundred sixty-one thousand, four hundred forty".