74308126464 has 432 divisors, whose sum is σ = 259622012160. Its totient is φ = 20781895680.

The previous prime is 74308126439. The next prime is 74308126499. The reversal of 74308126464 is 46462180347.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×74308126464³ (a number of 34 digits) contains 333 as substring.

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, 12846517 + ... + 12852299.

It is an arithmetic number, because the mean of its divisors is an integer number (600976880).

Almost surely, 2^74308126464 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 74308126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129811006080).

74308126464 is an abundant number, since it is smaller than the sum of its proper divisors (185313885696).

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

74308126464 is a wasteful number, since it uses less digits than its factorization.

74308126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 74308126464 in words is "seventy-four billion, three hundred eight million, one hundred twenty-six thousand, four hundred sixty-four".