66378317040 has 240 divisors, whose sum is σ = 257241773568. Its totient is φ = 15024766464.

The previous prime is 66378317029. The next prime is 66378317107. The reversal of 66378317040 is 4071387366.

66378317040 is a `hidden beast` number, since 6 + 637 + 8 + 3 + 1 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 455187 + ... + 583053.

Almost surely, 2^66378317040 is an apocalyptic number.

66378317040 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 66378317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128620886784).

66378317040 is an abundant number, since it is smaller than the sum of its proper divisors (190863456528).

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

66378317040 is a wasteful number, since it uses less digits than its factorization.

66378317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127996 (or 127987 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 66378317040 in words is "sixty-six billion, three hundred seventy-eight million, three hundred seventeen thousand, forty".