67772979150048 has 144 divisors (see below), whose sum is σ = 193455077293296. Its totient is φ = 22506092974080.

The previous prime is 67772979150047. The next prime is 67772979150049. The reversal of 67772979150048 is 84005197927776.

67772979150048 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 2 + 9 + 79 + 1 + 500 + 48 = 666.

67772979150048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67772979150047) and next prime (67772979150049).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67772979150047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81071736 + ... + 81903432.

It is an arithmetic number, because the mean of its divisors is an integer number (1343438036759).

Almost surely, 2^{67772979150048} 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 67772979150048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96727538646648).

67772979150048 is an abundant number, since it is smaller than the sum of its proper divisors (125682098143248).

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

67772979150048 is a wasteful number, since it uses less digits than its factorization.

67772979150048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832777 (or 832766 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 67772979150048 in words is "sixty-seven trillion, seven hundred seventy-two billion, nine hundred seventy-nine million, one hundred fifty thousand, forty-eight".