74678425786080 has 288 divisors, whose sum is σ = 255699234501984. Its totient is φ = 19847140159488.

The previous prime is 74678425786031. The next prime is 74678425786091. The reversal of 74678425786080 is 8068752487647.

74678425786080 is a `hidden beast` number, since 7 + 4 + 6 + 7 + 8 + 4 + 2 + 5 + 7 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2502864922 + ... + 2502894758.

It is an arithmetic number, because the mean of its divisors is an integer number (887844564243).

Almost surely, 2^{74678425786080} 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 74678425786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127849617250992).

74678425786080 is an abundant number, since it is smaller than the sum of its proper divisors (181020808715904).

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

74678425786080 is a wasteful number, since it uses less digits than its factorization.

74678425786080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35658 (or 35647 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 74678425786080 in words is "seventy-four trillion, six hundred seventy-eight billion, four hundred twenty-five million, seven hundred eighty-six thousand, eighty".