66379376448 has 1344 divisors, whose sum is σ = 271306137600. Its totient is φ = 15807052800.

The previous prime is 66379376381. The next prime is 66379376461. The reversal of 66379376448 is 84467397366.

66379376448 is a `hidden beast` number, since 6 + 6 + 37 + 93 + 76 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2141270193 + ... + 2141270223.

Almost surely, 2^66379376448 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 66379376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135653068800).

66379376448 is an abundant number, since it is smaller than the sum of its proper divisors (204926761152).

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

66379376448 is a wasteful number, since it uses less digits than its factorization.

66379376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 66379376448 in words is "sixty-six billion, three hundred seventy-nine million, three hundred seventy-six thousand, four hundred forty-eight".