67794900480000 has 1040 divisors, whose sum is σ = 254100749856800. Its totient is φ = 18077147136000.

The previous prime is 67794900479989. The next prime is 67794900480067. The reversal of 67794900480000 is 8400949776.

It is a happy number.

67794900480000 is a `hidden beast` number, since 6 + 7 + 79 + 4 + 90 + 0 + 480 + 0 + 0 + 0 = 666.

67794900480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67794900480000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5598713946 + ... + 5598726054.

Almost surely, 2^{67794900480000} is an apocalyptic number.

67794900480000 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 67794900480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127050374928400).

67794900480000 is an abundant number, since it is smaller than the sum of its proper divisors (186305849376800).

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

67794900480000 is an frugal number, since it uses more digits than its factorization.

67794900480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 67794900480000 in words is "sixty-seven trillion, seven hundred ninety-four billion, nine hundred million, four hundred eighty thousand".