67360701312 has 384 divisors, whose sum is σ = 208831633920. Its totient is φ = 20792217600.

The previous prime is 67360701269. The next prime is 67360701347. The reversal of 67360701312 is 21310706376.

67360701312 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114753883 + ... + 114754469.

It is an arithmetic number, because the mean of its divisors is an integer number (543832380).

Almost surely, 2^67360701312 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 67360701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104415816960).

67360701312 is an abundant number, since it is smaller than the sum of its proper divisors (141470932608).

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

67360701312 is a wasteful number, since it uses less digits than its factorization.

67360701312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 67360701312 in words is "sixty-seven billion, three hundred sixty million, seven hundred one thousand, three hundred twelve".