66734007333912 has 192 divisors, whose sum is σ = 188341747776000. Its totient is φ = 22136815741824.

The previous prime is 66734007333893. The next prime is 66734007333919. The reversal of 66734007333912 is 21933370043766.

66734007333912 is a `hidden beast` number, since 66 + 73 + 400 + 73 + 3 + 39 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66734007333919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707563014 + ... + 707657322.

It is an arithmetic number, because the mean of its divisors is an integer number (980946603000).

Almost surely, 2^{66734007333912} 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 66734007333912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94170873888000).

66734007333912 is an abundant number, since it is smaller than the sum of its proper divisors (121607740442088).

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

66734007333912 is a wasteful number, since it uses less digits than its factorization.

66734007333912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96092 (or 96076 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 66734007333912 in words is "sixty-six trillion, seven hundred thirty-four billion, seven million, three hundred thirty-three thousand, nine hundred twelve".