74968242725376 has 960 divisors, whose sum is σ = 299873542864896. Its totient is φ = 17394551193600.

The previous prime is 74968242725371. The next prime is 74968242725377. The reversal of 74968242725376 is 67352724286947.

74968242725376 is a `hidden beast` number, since 7 + 4 + 9 + 6 + 8 + 242 + 7 + 2 + 5 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (74968242725371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142728705 + ... + 143252991.

Almost surely, 2^{74968242725376} 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 74968242725376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149936771432448).

74968242725376 is an abundant number, since it is smaller than the sum of its proper divisors (224905300139520).

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

74968242725376 is a wasteful number, since it uses less digits than its factorization.

74968242725376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524373 (or 524354 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 74968242725376 in words is "seventy-four trillion, nine hundred sixty-eight billion, two hundred forty-two million, seven hundred twenty-five thousand, three hundred seventy-six".