6001763040 has 720 divisors, whose sum is σ = 26571216672. Its totient is φ = 1264564224.

The previous prime is 6001763039. The next prime is 6001763041. The reversal of 6001763040 is 403671006.

6001763040 is a `hidden beast` number, since 600 + 17 + 6 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6001763039) and next prime (6001763041).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6001762995 and 6001763013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001763041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8255157 + ... + 8255883.

Almost surely, 2^6001763040 is an apocalyptic number.

6001763040 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 6001763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285608336).

6001763040 is an abundant number, since it is smaller than the sum of its proper divisors (20569453632).

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

6001763040 is a wasteful number, since it uses less digits than its factorization.

6001763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6001763040 is about 77471.0464625333. The cubic root of 6001763040 is about 1817.2985563073.

The spelling of 6001763040 in words is "six billion, one million, seven hundred sixty-three thousand, forty".