67878605793600 has 1344 divisors, whose sum is σ = 289804613460480. Its totient is φ = 15133763174400.

The previous prime is 67878605793527. The next prime is 67878605793619. The reversal of 67878605793600 is 639750687876.

67878605793600 is a `hidden beast` number, since 6 + 7 + 8 + 7 + 8 + 6 + 0 + 5 + 7 + 9 + 3 + 600 = 666.

67878605793600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 2772693360 + ... + 2772717840.

Almost surely, 2^{67878605793600} is an apocalyptic number.

67878605793600 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 67878605793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144902306730240).

67878605793600 is an abundant number, since it is smaller than the sum of its proper divisors (221926007666880).

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

67878605793600 is a wasteful number, since it uses less digits than its factorization.

67878605793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24745 (or 24724 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 67878605793600 in words is "sixty-seven trillion, eight hundred seventy-eight billion, six hundred five million, seven hundred ninety-three thousand, six hundred".