74813451632640 has 2304 divisors, whose sum is σ = 315069698211840. Its totient is φ = 16355866705920.

The previous prime is 74813451632627. The next prime is 74813451632659. The reversal of 74813451632640 is 4623615431847.

74813451632640 is a `hidden beast` number, since 7 + 4 + 8 + 1 + 34 + 516 + 32 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 284461793149 + ... + 284461793411.

It is an arithmetic number, because the mean of its divisors is an integer number (136749000960).

Almost surely, 2^{74813451632640} is an apocalyptic number.

74813451632640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74813451632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157534849105920).

74813451632640 is an abundant number, since it is smaller than the sum of its proper divisors (240256246579200).

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

74813451632640 is a wasteful number, since it uses less digits than its factorization.

74813451632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 74813451632640 in words is "seventy-four trillion, eight hundred thirteen billion, four hundred fifty-one million, six hundred thirty-two thousand, six hundred forty".