74652915456 has 864 divisors, whose sum is σ = 277220361600. Its totient is φ = 18827182080.

The previous prime is 74652915443. The next prime is 74652915481. The reversal of 74652915456 is 65451925647.

74652915456 is a `hidden beast` number, since 7 + 4 + 6 + 5 + 2 + 91 + 545 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 325995150 + ... + 325995378.

It is an arithmetic number, because the mean of its divisors is an integer number (320856900).

Almost surely, 2^74652915456 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 74652915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138610180800).

74652915456 is an abundant number, since it is smaller than the sum of its proper divisors (202567446144).

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

74652915456 is a wasteful number, since it uses less digits than its factorization.

74652915456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

It can be divided in two parts, 7465291 and 5456, that added together give a palindrome (7470747).

The spelling of 74652915456 in words is "seventy-four billion, six hundred fifty-two million, nine hundred fifteen thousand, four hundred fifty-six".