66144222540 has 480 divisors, whose sum is σ = 247973140800. Its totient is φ = 14569390080.

The previous prime is 66144222509. The next prime is 66144222577. The reversal of 66144222540 is 4522244166.

66144222540 is a `hidden beast` number, since 66 + 14 + 42 + 2 + 2 + 540 = 666.

66144222540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66144222495 and 66144222504.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8781496 + ... + 8789024.

It is an arithmetic number, because the mean of its divisors is an integer number (516610710).

Almost surely, 2^66144222540 is an apocalyptic number.

66144222540 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 66144222540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123986570400).

66144222540 is an abundant number, since it is smaller than the sum of its proper divisors (181828918260).

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

66144222540 is a wasteful number, since it uses less digits than its factorization.

66144222540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7607 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 66144222540 in words is "sixty-six billion, one hundred forty-four million, two hundred twenty-two thousand, five hundred forty".