74005757725536 has 2304 divisors, whose sum is σ = 287636053985280. Its totient is φ = 17500361195520.

The previous prime is 74005757725531. The next prime is 74005757725541. The reversal of 74005757725536 is 63552775750047.

74005757725536 is a `hidden beast` number, since 7 + 4 + 0 + 0 + 5 + 7 + 5 + 7 + 72 + 553 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (74005757725531) and next prime (74005757725541).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74005757725531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 263365685716 + ... + 263365685996.

It is an arithmetic number, because the mean of its divisors is an integer number (124842037320).

Almost surely, 2^{74005757725536} 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 74005757725536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143818026992640).

74005757725536 is an abundant number, since it is smaller than the sum of its proper divisors (213630296259744).

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

74005757725536 is a wasteful number, since it uses less digits than its factorization.

74005757725536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 216090000, while the sum is 63.

The spelling of 74005757725536 in words is "seventy-four trillion, five billion, seven hundred fifty-seven million, seven hundred twenty-five thousand, five hundred thirty-six".