64528168000 has 112 divisors (see below), whose sum is σ = 160081831728. Its totient is φ = 25766400000.

The previous prime is 64528167971. The next prime is 64528168009. The reversal of 64528168000 is 86182546.

It can be written as a sum of positive squares in 8 ways, for example, as 1378488384 + 63149679616 = 37128^2 + 251296^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (64528168009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4801290 + ... + 4814710.

It is an arithmetic number, because the mean of its divisors is an integer number (1429302069).

Almost surely, 2^64528168000 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 64528168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80040915864).

64528168000 is an abundant number, since it is smaller than the sum of its proper divisors (95553663728).

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

64528168000 is a wasteful number, since it uses less digits than its factorization.

64528168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14049 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 64528168000 in words is "sixty-four billion, five hundred twenty-eight million, one hundred sixty-eight thousand".