6555188640 has 576 divisors, whose sum is σ = 28233878400. Its totient is φ = 1256693760.

The previous prime is 6555188617. The next prime is 6555188659. The reversal of 6555188640 is 468815556.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6555188640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3362386 + ... + 3364334.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^6555188640 is an apocalyptic number.

6555188640 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 6555188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

6555188640 is an abundant number, since it is smaller than the sum of its proper divisors (21678689760).

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

6555188640 is a wasteful number, since it uses less digits than its factorization.

6555188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The square root of 6555188640 is about 80964.1194604128. The cubic root of 6555188640 is about 1871.5225515528.

The spelling of 6555188640 in words is "six billion, five hundred fifty-five million, one hundred eighty-eight thousand, six hundred forty".