66734068752 has 400 divisors, whose sum is σ = 231851410560. Its totient is φ = 18307067904.

The previous prime is 66734068717. The next prime is 66734068763. The reversal of 66734068752 is 25786043766.

It is a super-4 number, since 4×66734068752⁴ (a number of 44 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5435773 + ... + 5448035.

Almost surely, 2^66734068752 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 66734068752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115925705280).

66734068752 is an abundant number, since it is smaller than the sum of its proper divisors (165117341808).

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

66734068752 is a wasteful number, since it uses less digits than its factorization.

66734068752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12332 (or 12317 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 66734068752 in words is "sixty-six billion, seven hundred thirty-four million, sixty-eight thousand, seven hundred fifty-two".