64755891200 has 1188 divisors, whose sum is σ = 231520072392. Its totient is φ = 17650483200.

The previous prime is 64755891191. The next prime is 64755891209. The reversal of 64755891200 is 219855746.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64755891191) and next prime (64755891209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64755891209) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3408204791 + ... + 3408204809.

Almost surely, 2^64755891200 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 64755891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115760036196).

64755891200 is an abundant number, since it is smaller than the sum of its proper divisors (166764181192).

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

64755891200 is a wasteful number, since it uses less digits than its factorization.

64755891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 64755891200 in words is "sixty-four billion, seven hundred fifty-five million, eight hundred ninety-one thousand, two hundred".