67033832628672 has 672 divisors, whose sum is σ = 250639723361664. Its totient is φ = 16622773862400.

The previous prime is 67033832628671. The next prime is 67033832628677. The reversal of 67033832628672 is 27682623833076.

67033832628672 is a `hidden beast` number, since 6 + 70 + 338 + 32 + 62 + 86 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67033832628671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 909747672 + ... + 909821352.

It is an arithmetic number, because the mean of its divisors is an integer number (372975778812).

Almost surely, 2^{67033832628672} 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 67033832628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125319861680832).

67033832628672 is an abundant number, since it is smaller than the sum of its proper divisors (183605890732992).

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

67033832628672 is a wasteful number, since it uses less digits than its factorization.

67033832628672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74757 (or 74744 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 67033832628672 in words is "sixty-seven trillion, thirty-three billion, eight hundred thirty-two million, six hundred twenty-eight thousand, six hundred seventy-two".