4467780000 has 180 divisors, whose sum is σ = 15877119258. Its totient is φ = 1191360000.

The previous prime is 4467779999. The next prime is 4467780001. The reversal of 4467780000 is 877644.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4467779999) and next prime (4467780001).

It can be written as a sum of positive squares in 5 ways, for example, as 43401744 + 4424378256 = 6588^2 + 66516^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4467780000² = 39922116256800000000, which contains 22 as substring.

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 (4467780001) 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 29 ways as a sum of consecutive naturals, for example, 167590 + ... + 192410.

Almost surely, 2^4467780000 is an apocalyptic number.

4467780000 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 4467780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938559629).

4467780000 is an abundant number, since it is smaller than the sum of its proper divisors (11409339258).

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

4467780000 is a wasteful number, since it uses less digits than its factorization.

4467780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24857 (or 24831 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4467780000 is about 66841.4542032113. The cubic root of 4467780000 is about 1647.0138828274.

The spelling of 4467780000 in words is "four billion, four hundred sixty-seven million, seven hundred eighty thousand".