66765162669408 has 432 divisors, whose sum is σ = 223432628459040. Its totient is φ = 18853869146112.

The previous prime is 66765162669377. The next prime is 66765162669437. The reversal of 66765162669408 is 80496626156766.

66765162669408 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 516 + 2 + 6 + 69 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3625970410 + ... + 3625988822.

It is an arithmetic number, because the mean of its divisors is an integer number (517205158470).

Almost surely, 2^{66765162669408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66765162669408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111716314229520).

66765162669408 is an abundant number, since it is smaller than the sum of its proper divisors (156667465789632).

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

66765162669408 is a wasteful number, since it uses less digits than its factorization.

66765162669408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21419 (or 21401 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 66765162669408 in words is "sixty-six trillion, seven hundred sixty-five billion, one hundred sixty-two million, six hundred sixty-nine thousand, four hundred eight".