6050816640 has 576 divisors, whose sum is σ = 23849860320. Its totient is φ = 1455667200.

The previous prime is 6050816633. The next prime is 6050816657. The reversal of 6050816640 is 466180506.

6050816640 is a `hidden beast` number, since 6 + 0 + 5 + 0 + 8 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6050816640² = 73224764021801779200, which contains 22 as substring.

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 = 6050816595 and 6050816604.

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, 46189375 + ... + 46189505.

Almost surely, 2^6050816640 is an apocalyptic number.

6050816640 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 6050816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924930160).

6050816640 is an abundant number, since it is smaller than the sum of its proper divisors (17799043680).

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

6050816640 is an equidigital number, since it uses as much as digits as its factorization.

6050816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6050816640 is about 77786.9953141269. The cubic root of 6050816640 is about 1822.2361758026.

The spelling of 6050816640 in words is "six billion, fifty million, eight hundred sixteen thousand, six hundred forty".