74743832507904 has 480 divisors, whose sum is σ = 251648635867200. Its totient is φ = 21348160339968.

The previous prime is 74743832507899. The next prime is 74743832507921. The reversal of 74743832507904 is 40970523834747.

74743832507904 is a `hidden beast` number, since 7 + 4 + 7 + 4 + 3 + 8 + 32 + 507 + 90 + 4 = 666.

74743832507904 is digitally balanced in base 3, base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6190984812 + ... + 6190996884.

It is an arithmetic number, because the mean of its divisors is an integer number (524267991390).

Almost surely, 2^{74743832507904} 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 74743832507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125824317933600).

74743832507904 is an abundant number, since it is smaller than the sum of its proper divisors (176904803359296).

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

74743832507904 is a wasteful number, since it uses less digits than its factorization.

74743832507904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16002 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 74743832507904 in words is "seventy-four trillion, seven hundred forty-three billion, eight hundred thirty-two million, five hundred seven thousand, nine hundred four".