66940148791296 has 720 divisors, whose sum is σ = 220749345016200. Its totient is φ = 20194926428160.

The previous prime is 66940148791279. The next prime is 66940148791333. The reversal of 66940148791296 is 69219784104966.

66940148791296 is a `hidden beast` number, since 6 + 6 + 9 + 40 + 1 + 487 + 9 + 12 + 96 = 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 59 ways as a sum of consecutive naturals, for example, 4596583311 + ... + 4596597873.

Almost surely, 2^{66940148791296} is an apocalyptic number.

66940148791296 is a gapful number since it is divisible by the number (66) 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 66940148791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110374672508100).

66940148791296 is an abundant number, since it is smaller than the sum of its proper divisors (153809196224904).

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

66940148791296 is a wasteful number, since it uses less digits than its factorization.

66940148791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14848 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 66940148791296 in words is "sixty-six trillion, nine hundred forty billion, one hundred forty-eight million, seven hundred ninety-one thousand, two hundred ninety-six".