66736320 has 112 divisors (see below), whose sum is σ = 242181888. Its totient is φ = 15252480.

The previous prime is 66736297. The next prime is 66736321. The reversal of 66736320 is 2363766.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66736321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755 + ... + 11685.

Almost surely, 2^66736320 is an apocalyptic number.

66736320 is a gapful number since it is divisible by the number (60) 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 66736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121090944).

66736320 is an abundant number, since it is smaller than the sum of its proper divisors (175445568).

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

66736320 is a wasteful number, since it uses less digits than its factorization.

66736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 66736320 is about 8169.2300738809. The cubic root of 66736320 is about 405.6212991005.

The spelling of 66736320 in words is "sixty-six million, seven hundred thirty-six thousand, three hundred twenty".