66363264 has 96 divisors (see below), whose sum is σ = 208367640. Its totient is φ = 20106240.

The previous prime is 66363263. The next prime is 66363287. The reversal of 66363264 is 46236366.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66363263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10054 + ... + 15290.

Almost surely, 2^66363264 is an apocalyptic number.

66363264 is a gapful number since it is divisible by the number (64) 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 66363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104183820).

66363264 is an abundant number, since it is smaller than the sum of its proper divisors (142004376).

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

66363264 is a wasteful number, since it uses less digits than its factorization.

66363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5253 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 66363264 is about 8146.3650789785. The cubic root of 66363264 is about 404.8640787601.

The spelling of 66363264 in words is "sixty-six million, three hundred sixty-three thousand, two hundred sixty-four".