74953483674624 has 495 divisors, whose sum is σ = 234159579696427. Its totient is φ = 23879927402496.

The previous prime is 74953483674613. The next prime is 74953483674659. The reversal of 74953483674624 is 42647638435947.

The square root of 74953483674624 is 8657568.

It is a perfect power (a square), and thus also a powerful number.

74953483674624 is a `hidden beast` number, since 7 + 4 + 9 + 53 + 483 + 6 + 74 + 6 + 24 = 666.

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

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 57347729779 + ... + 57347731085.

Almost surely, 2^{74953483674624} is an apocalyptic number.

74953483674624 is the 8657568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74953483674624

74953483674624 is an abundant number, since it is smaller than the sum of its proper divisors (159206096021803).

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

74953483674624 is an frugal number, since it uses more digits than its factorization.

74953483674624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 1335 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 72.

The spelling of 74953483674624 in words is "seventy-four trillion, nine hundred fifty-three billion, four hundred eighty-three million, six hundred seventy-four thousand, six hundred twenty-four".