6554106000 has 480 divisors, whose sum is σ = 25351898208. Its totient is φ = 1567641600.

The previous prime is 6554105969. The next prime is 6554106023. The reversal of 6554106000 is 6014556.

It is a happy number.

6554106000 is a `hidden beast` number, since 6 + 5 + 54 + 1 + 0 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4063297536 + 2490808464 = 63744^2 + 49908^2 .

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, 8657622 + ... + 8658378.

Almost surely, 2^6554106000 is an apocalyptic number.

6554106000 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 6554106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12675949104).

6554106000 is an abundant number, since it is smaller than the sum of its proper divisors (18797792208).

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

6554106000 is a wasteful number, since it uses less digits than its factorization.

6554106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6554106000 is about 80957.4332597075. The cubic root of 6554106000 is about 1871.4195137485.

The spelling of 6554106000 in words is "six billion, five hundred fifty-four million, one hundred six thousand".