74356644560 has 80 divisors (see below), whose sum is σ = 188693762112. Its totient is φ = 27024691200.

The previous prime is 74356644553. The next prime is 74356644563. The reversal of 74356644560 is 6544665347.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×74356644560³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74356644499 and 74356644508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74356644563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1748672 + ... + 1790688.

Almost surely, 2^74356644560 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 74356644560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94346881056).

74356644560 is an abundant number, since it is smaller than the sum of its proper divisors (114337117552).

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

74356644560 is a wasteful number, since it uses less digits than its factorization.

74356644560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44052 (or 44046 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 50.

The spelling of 74356644560 in words is "seventy-four billion, three hundred fifty-six million, six hundred forty-four thousand, five hundred sixty".