67001253984 has 144 divisors (see below), whose sum is σ = 217838799360. Its totient is φ = 19135768320.

The previous prime is 67001253973. The next prime is 67001254009. The reversal of 67001253984 is 48935210076.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7129929 + ... + 7139319.

It is an arithmetic number, because the mean of its divisors is an integer number (1512769440).

It is a 2-persistent number, because it is pandigital, and so is 2⋅67001253984 = 134002507968, but 3⋅67001253984 = 201003761952 is not.

Almost surely, 2^67001253984 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 67001253984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108919399680).

67001253984 is an abundant number, since it is smaller than the sum of its proper divisors (150837545376).

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

67001253984 is a wasteful number, since it uses less digits than its factorization.

67001253984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12953 (or 12942 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 67001253984 in words is "sixty-seven billion, one million, two hundred fifty-three thousand, nine hundred eighty-four".