67870089887040 has 1344 divisors, whose sum is σ = 274828374213120. Its totient is φ = 15053676871680.

The previous prime is 67870089887009. The next prime is 67870089887053. The reversal of 67870089887040 is 4078898007876.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 67870089887040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87800892094 + ... + 87800892866.

It is an arithmetic number, because the mean of its divisors is an integer number (204485397480).

Almost surely, 2^{67870089887040} is an apocalyptic number.

67870089887040 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 67870089887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137414187106560).

67870089887040 is an abundant number, since it is smaller than the sum of its proper divisors (206958284326080).

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

67870089887040 is a wasteful number, since it uses less digits than its factorization.

67870089887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 67870089887040 in words is "sixty-seven trillion, eight hundred seventy billion, eighty-nine million, eight hundred eighty-seven thousand, forty".