67995648000 has 1440 divisors, whose sum is σ = 306208401408. Its totient is φ = 14155776000.

The previous prime is 67995647989. The next prime is 67995648011. The reversal of 67995648000 is 84659976.

67995648000 is a `hidden beast` number, since 6 + 79 + 9 + 564 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (67995647989) and next prime (67995648011).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2193407985 + ... + 2193408015.

Almost surely, 2^67995648000 is an apocalyptic number.

67995648000 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 67995648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153104200704).

67995648000 is an abundant number, since it is smaller than the sum of its proper divisors (238212753408).

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

67995648000 is a wasteful number, since it uses less digits than its factorization.

67995648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 67995648000 in words is "sixty-seven billion, nine hundred ninety-five million, six hundred forty-eight thousand".