4001761764 has 144 divisors (see below), whose sum is σ = 13581859200. Its totient is φ = 959454720.

The previous prime is 4001761763. The next prime is 4001761793. The reversal of 4001761764 is 4671671004.

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

It is not an unprimeable number, because it can be changed into a prime (4001761763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19489 + ... + 91560.

Almost surely, 2^4001761764 is an apocalyptic number.

4001761764 is a gapful number since it is divisible by the number (44) 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 4001761764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790929600).

4001761764 is an abundant number, since it is smaller than the sum of its proper divisors (9580097436).

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

4001761764 is a wasteful number, since it uses less digits than its factorization.

4001761764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111090 (or 111085 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4001761764 is about 63259.4796374425. The cubic root of 4001761764 is about 1587.6340699302.

The spelling of 4001761764 in words is "four billion, one million, seven hundred sixty-one thousand, seven hundred sixty-four".