5556438720 has 336 divisors, whose sum is σ = 21930774528. Its totient is φ = 1264896000.

The previous prime is 5556438709. The next prime is 5556438731. The reversal of 5556438720 is 278346555.

5556438720 is a `hidden beast` number, since 5 + 5 + 564 + 3 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5556438709) and next prime (5556438731).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5556438720² = 61748022498230476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7398345 + ... + 7399095.

Almost surely, 2^5556438720 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 5556438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965387264).

5556438720 is an abundant number, since it is smaller than the sum of its proper divisors (16374335808).

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

5556438720 is a wasteful number, since it uses less digits than its factorization.

5556438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5556438720 is about 74541.5234617592. The cubic root of 5556438720 is about 1771.1914605582.

The spelling of 5556438720 in words is "five billion, five hundred fifty-six million, four hundred thirty-eight thousand, seven hundred twenty".