4611055680 has 896 divisors, whose sum is σ = 21067776000. Its totient is φ = 921231360.

The previous prime is 4611055633. The next prime is 4611055681. The reversal of 4611055680 is 865501164.

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 (4611055681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19293001 + ... + 19293239.

Almost surely, 2^4611055680 is an apocalyptic number.

4611055680 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 4611055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533888000).

4611055680 is an abundant number, since it is smaller than the sum of its proper divisors (16456720320).

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

4611055680 is a wasteful number, since it uses less digits than its factorization.

4611055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4611055680 is about 67904.7544727172. The cubic root of 4611055680 is about 1664.4348053222.

The spelling of 4611055680 in words is "four billion, six hundred eleven million, fifty-five thousand, six hundred eighty".