66536064 has 192 divisors, whose sum is σ = 225738240. Its totient is φ = 18413568.

The previous prime is 66536059. The next prime is 66536077. The reversal of 66536064 is 46063566.

66536064 is a `hidden beast` number, since 66 + 536 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×66536064² = 8854095625224192, 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 23 ways as a sum of consecutive naturals, for example, 298257 + ... + 298479.

It is an arithmetic number, because the mean of its divisors is an integer number (1175720).

Almost surely, 2^66536064 is an apocalyptic number.

66536064 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 66536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112869120).

66536064 is an abundant number, since it is smaller than the sum of its proper divisors (159202176).

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

66536064 is a wasteful number, since it uses less digits than its factorization.

66536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 66536064 is about 8156.9641411496. The cubic root of 66536064 is about 405.2151760091.

It can be divided in two parts, 66 and 536064, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 66536064 in words is "sixty-six million, five hundred thirty-six thousand, sixty-four".