67149740736 has 336 divisors, whose sum is σ = 213129571200. Its totient is φ = 20203941888.

The previous prime is 67149740719. The next prime is 67149740737. The reversal of 67149740736 is 63704794176.

67149740736 is a `hidden beast` number, since 67 + 149 + 7 + 407 + 36 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67149740737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59476620 + ... + 59477748.

It is an arithmetic number, because the mean of its divisors is an integer number (634314200).

Almost surely, 2^67149740736 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 67149740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106564785600).

67149740736 is an abundant number, since it is smaller than the sum of its proper divisors (145979830464).

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

67149740736 is a wasteful number, since it uses less digits than its factorization.

67149740736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 67149740736 in words is "sixty-seven billion, one hundred forty-nine million, seven hundred forty thousand, seven hundred thirty-six".