67664411136000 has 1248 divisors, whose sum is σ = 279718090299648. Its totient is φ = 15413516697600.

The previous prime is 67664411135987. The next prime is 67664411136061. The reversal of 67664411136000 is 63111446676.

67664411136000 is a `hidden beast` number, since 6 + 76 + 6 + 441 + 1 + 136 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9902588584 + ... + 9902595416.

It is an arithmetic number, because the mean of its divisors is an integer number (224133085176).

Almost surely, 2^{67664411136000} is an apocalyptic number.

67664411136000 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 67664411136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139859045149824).

67664411136000 is an abundant number, since it is smaller than the sum of its proper divisors (212053679163648).

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

67664411136000 is a wasteful number, since it uses less digits than its factorization.

67664411136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 67664411136000 in words is "sixty-seven trillion, six hundred sixty-four billion, four hundred eleven million, one hundred thirty-six thousand".