67152000960 has 672 divisors, whose sum is σ = 274451673600. Its totient is φ = 14886789120.

The previous prime is 67152000947. The next prime is 67152001009. The reversal of 67152000960 is 6900025176.

67152000960 is a `hidden beast` number, since 6 + 71 + 520 + 0 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17453757 + ... + 17457603.

Almost surely, 2^67152000960 is an apocalyptic number.

67152000960 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 67152000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137225836800).

67152000960 is an abundant number, since it is smaller than the sum of its proper divisors (207299672640).

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

67152000960 is a wasteful number, since it uses less digits than its factorization.

67152000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 67152000960 in words is "sixty-seven billion, one hundred fifty-two million, nine hundred sixty", and thus it is an aban number.