4016867760 has 240 divisors, whose sum is σ = 14108430336. Its totient is φ = 1062077184.

The previous prime is 4016867717. The next prime is 4016867761. The reversal of 4016867760 is 677686104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4016867760² = 32270453202654835200, 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 (4016867761) 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 47 ways as a sum of consecutive naturals, for example, 2468067 + ... + 2469693.

Almost surely, 2^4016867760 is an apocalyptic number.

4016867760 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 4016867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054215168).

4016867760 is an abundant number, since it is smaller than the sum of its proper divisors (10091562576).

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

4016867760 is a wasteful number, since it uses less digits than its factorization.

4016867760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4016867760 is about 63378.7642669057. The cubic root of 4016867760 is about 1589.6292478383.

The spelling of 4016867760 in words is "four billion, sixteen million, eight hundred sixty-seven thousand, seven hundred sixty".