74373977399040 has 1080 divisors, whose sum is σ = 292786760330064. Its totient is φ = 18013379788800.

The previous prime is 74373977398969. The next prime is 74373977399047. The reversal of 74373977399040 is 4099377937347.

74373977399040 is a `hidden beast` number, since 7 + 43 + 7 + 397 + 73 + 9 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 74373977399040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74373977399047) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 18579557679 + ... + 18579561681.

Almost surely, 2^{74373977399040} 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 74373977399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146393380165032).

74373977399040 is an abundant number, since it is smaller than the sum of its proper divisors (218412782931024).

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

74373977399040 is a wasteful number, since it uses less digits than its factorization.

74373977399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 756142128, while the sum is 72.

The spelling of 74373977399040 in words is "seventy-four trillion, three hundred seventy-three billion, nine hundred seventy-seven million, three hundred ninety-nine thousand, forty".