67564507000 has 64 divisors (see below), whose sum is σ = 158797959840. Its totient is φ = 26906656000.

The previous prime is 67564506953. The next prime is 67564507019. The reversal of 67564507000 is 70546576.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78180 + ... + 375820.

Almost surely, 2^67564507000 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 67564507000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79398979920).

67564507000 is an abundant number, since it is smaller than the sum of its proper divisors (91233452840).

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

67564507000 is a wasteful number, since it uses less digits than its factorization.

67564507000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297889 (or 297875 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

It can be divided in two parts, 67564 and 507000, that added together give a square (574564 = 758²).

The spelling of 67564507000 in words is "sixty-seven billion, five hundred sixty-four million, five hundred seven thousand".