6654609561600 has 4320 divisors, whose sum is σ = 33830852655600. Its totient is φ = 1270834790400.

The previous prime is 6654609561599. The next prime is 6654609561601. The reversal of 6654609561600 is 61659064566.

6654609561600 is a `hidden beast` number, since 6 + 6 + 546 + 0 + 95 + 6 + 1 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6654609561599) and next prime (6654609561601).

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6654609561601) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 29059430286 + ... + 29059430514.

Almost surely, 2^{6654609561600} is an apocalyptic number.

6654609561600 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 6654609561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915426327800).

6654609561600 is an abundant number, since it is smaller than the sum of its proper divisors (27176243094000).

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

6654609561600 is a wasteful number, since it uses less digits than its factorization.

6654609561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 270 counting only the distinct ones).

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

The spelling of 6654609561600 in words is "six trillion, six hundred fifty-four billion, six hundred nine million, five hundred sixty-one thousand, six hundred".