6556619520 has 360 divisors, whose sum is σ = 25598034000. Its totient is φ = 1589207040.

The previous prime is 6556619497. The next prime is 6556619549. The reversal of 6556619520 is 259166556.

6556619520 is a `hidden beast` number, since 6 + 5 + 5 + 6 + 619 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 1137606 + ... + 1143354.

It is an arithmetic number, because the mean of its divisors is an integer number (71105650).

Almost surely, 2^6556619520 is an apocalyptic number.

6556619520 is a gapful number since it is divisible by the number (60) 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 6556619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799017000).

6556619520 is an abundant number, since it is smaller than the sum of its proper divisors (19041414480).

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

6556619520 is a wasteful number, since it uses less digits than its factorization.

6556619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5793 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 6556619520 is about 80972.9554851495. The cubic root of 6556619520 is about 1871.6587149043.

The spelling of 6556619520 in words is "six billion, five hundred fifty-six million, six hundred nineteen thousand, five hundred twenty".