67564728000 has 1008 divisors, whose sum is σ = 306885185568. Its totient is φ = 14031360000.

The previous prime is 67564727981. The next prime is 67564728001. The reversal of 67564728000 is 82746576.

67564728000 is a `hidden beast` number, since 6 + 7 + 564 + 7 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (67564728001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38807130 + ... + 38808870.

Almost surely, 2^67564728000 is an apocalyptic number.

67564728000 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 67564728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153442592784).

67564728000 is an abundant number, since it is smaller than the sum of its proper divisors (239320457568).

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

67564728000 is a wasteful number, since it uses less digits than its factorization.

67564728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 67564728000 in words is "sixty-seven billion, five hundred sixty-four million, seven hundred twenty-eight thousand".