64875168000 has 720 divisors, whose sum is σ = 244767659136. Its totient is φ = 17132083200.

The previous prime is 64875167993. The next prime is 64875168023. The reversal of 64875168000 is 86157846.

It is a happy number.

64875168000 is a `hidden beast` number, since 6 + 487 + 5 + 168 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 629855949 + ... + 629856051.

Almost surely, 2^64875168000 is an apocalyptic number.

64875168000 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 64875168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122383829568).

64875168000 is an abundant number, since it is smaller than the sum of its proper divisors (179892491136).

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

64875168000 is an frugal number, since it uses more digits than its factorization.

64875168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 64875168000 in words is "sixty-four billion, eight hundred seventy-five million, one hundred sixty-eight thousand".