74345248440 has 128 divisors (see below), whose sum is σ = 247947624000. Its totient is φ = 19814989824.

The previous prime is 74345248429. The next prime is 74345248493. The reversal of 74345248440 is 4484254347.

74345248440 is a `hidden beast` number, since 7 + 4 + 3 + 4 + 524 + 84 + 40 = 666.

It is a super-3 number, since 3×74345248440³ (a number of 34 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161296 + ... + 2195424.

Almost surely, 2^74345248440 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 74345248440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123973812000).

74345248440 is an abundant number, since it is smaller than the sum of its proper divisors (173602375560).

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

74345248440 is a wasteful number, since it uses less digits than its factorization.

74345248440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36166 (or 36156 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 74345248440 in words is "seventy-four billion, three hundred forty-five million, two hundred forty-eight thousand, four hundred forty".