67992964695648 has 144 divisors (see below), whose sum is σ = 195034744719360. Its totient is φ = 22468278212352.

The previous prime is 67992964695647. The next prime is 67992964695749. The reversal of 67992964695648 is 84659646929976.

67992964695648 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 2 + 96 + 469 + 56 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67992964695647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13134715 + ... + 17564357.

It is an arithmetic number, because the mean of its divisors is an integer number (1354407949440).

Almost surely, 2^{67992964695648} 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 67992964695648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97517372359680).

67992964695648 is an abundant number, since it is smaller than the sum of its proper divisors (127041780023712).

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

67992964695648 is a wasteful number, since it uses less digits than its factorization.

67992964695648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430121 (or 4430110 counting only the distinct ones).

The product of its digits is 76187381760, while the sum is 90.

The spelling of 67992964695648 in words is "sixty-seven trillion, nine hundred ninety-two billion, nine hundred sixty-four million, six hundred ninety-five thousand, six hundred forty-eight".