554779680 has 288 divisors, whose sum is σ = 2164869504. Its totient is φ = 116932608.

The previous prime is 554779669. The next prime is 554779691. The reversal of 554779680 is 86977455.

It is an interprime number because it is at equal distance from previous prime (554779669) and next prime (554779691).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567352 + ... + 568328.

It is an arithmetic number, because the mean of its divisors is an integer number (7516908).

Almost surely, 2^554779680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082434752).

554779680 is an abundant number, since it is smaller than the sum of its proper divisors (1610089824).

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

554779680 is a wasteful number, since it uses less digits than its factorization.

554779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 554779680 is about 23553.7614830413. The cubic root of 554779680 is about 821.6878184184.

The spelling of 554779680 in words is "five hundred fifty-four million, seven hundred seventy-nine thousand, six hundred eighty".