67478783058960 has 2560 divisors, whose sum is σ = 288233551872000. Its totient is φ = 12661899264000.

The previous prime is 67478783058943. The next prime is 67478783059013. The reversal of 67478783058960 is 6985038787476.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 71709652090 + ... + 71709653030.

It is an arithmetic number, because the mean of its divisors is an integer number (112591231200).

Almost surely, 2^{67478783058960} is an apocalyptic number.

67478783058960 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 67478783058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144116775936000).

67478783058960 is an abundant number, since it is smaller than the sum of its proper divisors (220754768813040).

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

67478783058960 is a wasteful number, since it uses less digits than its factorization.

67478783058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 3413975040, while the sum is 78.

The spelling of 67478783058960 in words is "sixty-seven trillion, four hundred seventy-eight billion, seven hundred eighty-three million, fifty-eight thousand, nine hundred sixty".