66961167983712 has 192 divisors, whose sum is σ = 206810793120960. Its totient is φ = 21005500096512.

The previous prime is 66961167983701. The next prime is 66961167983741. The reversal of 66961167983712 is 21738976116966.

66961167983712 is a `hidden beast` number, since 6 + 6 + 9 + 6 + 1 + 167 + 98 + 371 + 2 = 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 31 ways as a sum of consecutive naturals, for example, 164493258 + ... + 164899830.

It is an arithmetic number, because the mean of its divisors is an integer number (1077139547505).

Almost surely, 2^{66961167983712} 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 66961167983712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103405396560480).

66961167983712 is an abundant number, since it is smaller than the sum of its proper divisors (139849625137248).

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

66961167983712 is a wasteful number, since it uses less digits than its factorization.

66961167983712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417822 (or 417808 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The spelling of 66961167983712 in words is "sixty-six trillion, nine hundred sixty-one billion, one hundred sixty-seven million, nine hundred eighty-three thousand, seven hundred twelve".