5557680000 has 640 divisors, whose sum is σ = 21413145600. Its totient is φ = 1416960000.

The previous prime is 5557679989. The next prime is 5557680041. The reversal of 5557680000 is 867555.

5557680000 is a `hidden beast` number, since 5 + 5 + 576 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66959959 + ... + 66960041.

It is an arithmetic number, because the mean of its divisors is an integer number (33458040).

Almost surely, 2^5557680000 is an apocalyptic number.

5557680000 is a gapful number since it is divisible by the number (50) 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 5557680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706572800).

5557680000 is an abundant number, since it is smaller than the sum of its proper divisors (15855465600).

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

5557680000 is an equidigital number, since it uses as much as digits as its factorization.

5557680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5557680000 is about 74549.8490944147. The cubic root of 5557680000 is about 1771.3233424435.

The spelling of 5557680000 in words is "five billion, five hundred fifty-seven million, six hundred eighty thousand".