66734633472 has 240 divisors, whose sum is σ = 198747065088. Its totient is φ = 19868958720.

The previous prime is 66734633443. The next prime is 66734633501. The reversal of 66734633472 is 27433643766.

It is an interprime number because it is at equal distance from previous prime (66734633443) and next prime (66734633501).

It is a super-3 number, since 3×66734633472³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8042958 + ... + 8051250.

Almost surely, 2^66734633472 is an apocalyptic number.

66734633472 is a gapful number since it is divisible by the number (62) 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 66734633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99373532544).

66734633472 is an abundant number, since it is smaller than the sum of its proper divisors (132012431616).

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

66734633472 is a wasteful number, since it uses less digits than its factorization.

66734633472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371 (or 8342 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 51.

The spelling of 66734633472 in words is "sixty-six billion, seven hundred thirty-four million, six hundred thirty-three thousand, four hundred seventy-two".