74064347136 has 540 divisors, whose sum is σ = 243779795532. Its totient is φ = 22359048192.

The previous prime is 74064347113. The next prime is 74064347153. The reversal of 74064347136 is 63174346047.

It can be written as a sum of positive squares in 2 ways, for example, as 31066177536 + 42998169600 = 176256^2 + 207360^2 .

It is a super-2 number, since 2×74064347136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74064347091 and 74064347100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1397440486 + ... + 1397440538.

Almost surely, 2^74064347136 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 74064347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121889897766).

74064347136 is an abundant number, since it is smaller than the sum of its proper divisors (169715448396).

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

74064347136 is an frugal number, since it uses more digits than its factorization.

74064347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 74064347136 in words is "seventy-four billion, sixty-four million, three hundred forty-seven thousand, one hundred thirty-six".