4557780000 has 180 divisors, whose sum is σ = 16196938758. Its totient is φ = 1215360000.

The previous prime is 4557779971. The next prime is 4557780011. The reversal of 4557780000 is 877554.

4557780000 is a `hidden beast` number, since 4 + 5 + 577 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 332259984 + 4225520016 = 18228^2 + 65004^2 .

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

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

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 29 ways as a sum of consecutive naturals, for example, 167340 + ... + 192660.

Almost surely, 2^4557780000 is an apocalyptic number.

4557780000 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 4557780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098469379).

4557780000 is an abundant number, since it is smaller than the sum of its proper divisors (11639158758).

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

4557780000 is a wasteful number, since it uses less digits than its factorization.

4557780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25357 (or 25331 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 4557780000 is about 67511.3323820527. The cubic root of 4557780000 is about 1657.9997196519. Note that the first 3 decimals are identical.

The spelling of 4557780000 in words is "four billion, five hundred fifty-seven million, seven hundred eighty thousand".