67506744816 has 160 divisors (see below), whose sum is σ = 221710809600. Its totient is φ = 19264988160.

The previous prime is 67506744791. The next prime is 67506744841. The reversal of 67506744816 is 61844760576.

67506744816 is a `hidden beast` number, since 67 + 506 + 74 + 4 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (67506744791) and next prime (67506744841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2651475 + ... + 2676813.

It is an arithmetic number, because the mean of its divisors is an integer number (1385692560).

Almost surely, 2^67506744816 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 67506744816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110855404800).

67506744816 is an abundant number, since it is smaller than the sum of its proper divisors (154204064784).

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

67506744816 is a wasteful number, since it uses less digits than its factorization.

67506744816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26244 (or 26232 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 67506744816 in words is "sixty-seven billion, five hundred six million, seven hundred forty-four thousand, eight hundred sixteen".