4045756680 has 512 divisors, whose sum is σ = 16227532800. Its totient is φ = 877132800.

The previous prime is 4045756667. The next prime is 4045756681. The reversal of 4045756680 is 866575404.

4045756680 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 7 + 566 + 80 = 666.

It is a super-2 number, since 2×4045756680² = 32736294227529244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4045756681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 14295819 + ... + 14296101.

It is an arithmetic number, because the mean of its divisors is an integer number (31694400).

Almost surely, 2^4045756680 is an apocalyptic number.

4045756680 is a gapful number since it is divisible by the number (40) 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 4045756680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8113766400).

4045756680 is an abundant number, since it is smaller than the sum of its proper divisors (12181776120).

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

4045756680 is a wasteful number, since it uses less digits than its factorization.

4045756680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4045756680 is about 63606.2628991831. The cubic root of 4045756680 is about 1593.4309678368.

The spelling of 4045756680 in words is "four billion, forty-five million, seven hundred fifty-six thousand, six hundred eighty".