67009033728000 has 1664 divisors, whose sum is σ = 304934055229440. Its totient is φ = 14137904332800.

The previous prime is 67009033727969. The next prime is 67009033728023. The reversal of 67009033728000 is 82733090076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1257957367 + ... + 1258010633.

It is an arithmetic number, because the mean of its divisors is an integer number (183253638960).

Almost surely, 2^{67009033728000} is an apocalyptic number.

67009033728000 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 67009033728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152467027614720).

67009033728000 is an abundant number, since it is smaller than the sum of its proper divisors (237925021501440).

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

67009033728000 is a wasteful number, since it uses less digits than its factorization.

67009033728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53335 (or 53297 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 67009033728000 in words is "sixty-seven trillion, nine billion, thirty-three million, seven hundred twenty-eight thousand".