66153154636800 has 2640 divisors, whose sum is σ = 306599190467328. Its totient is φ = 13692262809600.

The previous prime is 66153154636771. The next prime is 66153154636843. The reversal of 66153154636800 is 863645135166.

66153154636800 is a `hidden beast` number, since 6 + 6 + 1 + 5 + 31 + 546 + 3 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50614501747 + ... + 50614503053.

Almost surely, 2^{66153154636800} is an apocalyptic number.

66153154636800 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 66153154636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153299595233664).

66153154636800 is an abundant number, since it is smaller than the sum of its proper divisors (240446035830528).

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

66153154636800 is a wasteful number, since it uses less digits than its factorization.

66153154636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 66153154636800 in words is "sixty-six trillion, one hundred fifty-three billion, one hundred fifty-four million, six hundred thirty-six thousand, eight hundred".