74436848640 has 1848 divisors, whose sum is σ = 348922482192. Its totient is φ = 15049359360.

The previous prime is 74436848617. The next prime is 74436848693. The reversal of 74436848640 is 4684863447.

74436848640 is a `hidden beast` number, since 7 + 443 + 6 + 84 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 2011806702 + ... + 2011806738.

Almost surely, 2^74436848640 is an apocalyptic number.

74436848640 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 74436848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174461241096).

74436848640 is an abundant number, since it is smaller than the sum of its proper divisors (274485633552).

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

74436848640 is a wasteful number, since it uses less digits than its factorization.

74436848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 74436848640 in words is "seventy-four billion, four hundred thirty-six million, eight hundred forty-eight thousand, six hundred forty".