4001765760 has 384 divisors, whose sum is σ = 14366626560. Its totient is φ = 1025740800.

The previous prime is 4001765701. The next prime is 4001765773. The reversal of 4001765760 is 675671004.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 26501685 + ... + 26501835.

It is an arithmetic number, because the mean of its divisors is an integer number (37413090).

Almost surely, 2^4001765760 is an apocalyptic number.

4001765760 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 4001765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183313280).

4001765760 is an abundant number, since it is smaller than the sum of its proper divisors (10364860800).

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

4001765760 is a wasteful number, since it uses less digits than its factorization.

4001765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4001765760 is about 63259.5112216337. The cubic root of 4001765760 is about 1587.6345983795.

The spelling of 4001765760 in words is "four billion, one million, seven hundred sixty-five thousand, seven hundred sixty".