74946025440 has 1152 divisors, whose sum is σ = 319260009600. Its totient is φ = 16301260800.

The previous prime is 74946025409. The next prime is 74946025463. The reversal of 74946025440 is 4452064947.

74946025440 is a `hidden beast` number, since 7 + 49 + 4 + 60 + 2 + 544 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278609626 + ... + 278609894.

It is an arithmetic number, because the mean of its divisors is an integer number (277135425).

Almost surely, 2^74946025440 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 74946025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159630004800).

74946025440 is an abundant number, since it is smaller than the sum of its proper divisors (244313984160).

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

74946025440 is a wasteful number, since it uses less digits than its factorization.

74946025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 74946025440 in words is "seventy-four billion, nine hundred forty-six million, twenty-five thousand, four hundred forty".