4511640000 has 560 divisors, whose sum is σ = 17596567296. Its totient is φ = 998400000.

The previous prime is 4511639981. The next prime is 4511640017. The reversal of 4511640000 is 461154.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 79 ways as a sum of consecutive naturals, for example, 34439935 + ... + 34440065.

Almost surely, 2^4511640000 is an apocalyptic number.

4511640000 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 4511640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798283648).

4511640000 is an abundant number, since it is smaller than the sum of its proper divisors (13084927296).

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

4511640000 is a wasteful number, since it uses less digits than its factorization.

4511640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4511640000 is about 67168.7427305291. The cubic root of 4511640000 is about 1652.3858963619.

The spelling of 4511640000 in words is "four billion, five hundred eleven million, six hundred forty thousand".