74514435840 has 576 divisors, whose sum is σ = 297185172480. Its totient is φ = 17542103040.

The previous prime is 74514435833. The next prime is 74514435841. The reversal of 74514435840 is 4853441547.

74514435840 is a `hidden beast` number, since 7 + 4 + 514 + 43 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×74514435840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74514435841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10329835 + ... + 10337045.

It is an arithmetic number, because the mean of its divisors is an integer number (515946480).

Almost surely, 2^74514435840 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 74514435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148592586240).

74514435840 is an abundant number, since it is smaller than the sum of its proper divisors (222670736640).

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

74514435840 is a wasteful number, since it uses less digits than its factorization.

74514435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 74514435840 in words is "seventy-four billion, five hundred fourteen million, four hundred thirty-five thousand, eight hundred forty".