66736512 has 96 divisors (see below), whose sum is σ = 202215000. Its totient is φ = 21067776.

The previous prime is 66736507. The next prime is 66736529. The reversal of 66736512 is 21563766.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×66736512² = 8907524067852288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20364 + ... + 23412.

Almost surely, 2^66736512 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 66736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101107500).

66736512 is an abundant number, since it is smaller than the sum of its proper divisors (135478488).

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

66736512 is a wasteful number, since it uses less digits than its factorization.

66736512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3073 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 66736512 is about 8169.2418252859. The cubic root of 66736512 is about 405.6216880902.

The spelling of 66736512 in words is "sixty-six million, seven hundred thirty-six thousand, five hundred twelve".