74038261248 has 800 divisors, whose sum is σ = 275055728640. Its totient is φ = 19349176320.

The previous prime is 74038261211. The next prime is 74038261289. The reversal of 74038261248 is 84216283047.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 170988840 + ... + 170989272.

Almost surely, 2^74038261248 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 74038261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137527864320).

74038261248 is an abundant number, since it is smaller than the sum of its proper divisors (201017467392).

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

74038261248 is a wasteful number, since it uses less digits than its factorization.

74038261248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 74038261248 in words is "seventy-four billion, thirty-eight million, two hundred sixty-one thousand, two hundred forty-eight".