6654099456000 has 1520 divisors, whose sum is σ = 26126605327680. Its totient is φ = 1681706188800.

The previous prime is 6654099455999. The next prime is 6654099456029. The reversal of 6654099456000 is 6549904566.

6654099456000 is a `hidden beast` number, since 6 + 6 + 540 + 9 + 94 + 5 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61046783946 + ... + 61046784054.

Almost surely, 2^{6654099456000} is an apocalyptic number.

6654099456000 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 6654099456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063302663840).

6654099456000 is an abundant number, since it is smaller than the sum of its proper divisors (19472505871680).

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

6654099456000 is an frugal number, since it uses more digits than its factorization.

6654099456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 6654099456000 in words is "six trillion, six hundred fifty-four billion, ninety-nine million, four hundred fifty-six thousand".