64755936 has 240 divisors, whose sum is σ = 225396864. Its totient is φ = 17853696.

The previous prime is 64755923. The next prime is 64755949. The reversal of 64755936 is 63955746.

64755936 is a `hidden beast` number, since 64 + 7 + 559 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (64755923) and next prime (64755949).

It is a junction number, because it is equal to n+sod(n) for n = 64755891 and 64755900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 780151 + ... + 780233.

Almost surely, 2^64755936 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 64755936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112698432).

64755936 is an abundant number, since it is smaller than the sum of its proper divisors (160640928).

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

64755936 is a wasteful number, since it uses less digits than its factorization.

64755936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 64755936 is about 8047.1073063555. The cubic root of 64755936 is about 401.5687065239.

The spelling of 64755936 in words is "sixty-four million, seven hundred fifty-five thousand, nine hundred thirty-six".