6678153216000 has 2160 divisors, whose sum is σ = 28974969983232. Its totient is φ = 1504935936000.

The previous prime is 6678153215969. The next prime is 6678153216029. The reversal of 6678153216000 is 6123518766.

6678153216000 is a `hidden beast` number, since 6 + 6 + 7 + 8 + 1 + 5 + 32 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×6678153216000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94058495965 + ... + 94058496035.

Almost surely, 2^{6678153216000} is an apocalyptic number.

6678153216000 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 6678153216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487484991616).

6678153216000 is an abundant number, since it is smaller than the sum of its proper divisors (22296816767232).

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

6678153216000 is an frugal number, since it uses more digits than its factorization.

6678153216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6678153216000 in words is "six trillion, six hundred seventy-eight billion, one hundred fifty-three million, two hundred sixteen thousand".