93741664047768 has 384 divisors, whose sum is σ = 294008657679360. Its totient is φ = 26703806976000.

The previous prime is 93741664047727. The next prime is 93741664047799. The reversal of 93741664047768 is 86774046614739.

93741664047768 is a `hidden beast` number, since 9 + 37 + 4 + 1 + 6 + 64 + 0 + 477 + 68 = 666.

It is a super-2 number, since 2×93741664047768² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 93741664047696 and 93741664047705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373539373 + ... + 373790243.

It is an arithmetic number, because the mean of its divisors is an integer number (765647546040).

Almost surely, 2^{93741664047768} 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 93741664047768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147004328839680).

93741664047768 is an abundant number, since it is smaller than the sum of its proper divisors (200266993631592).

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

93741664047768 is a wasteful number, since it uses less digits than its factorization.

93741664047768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251271 (or 251264 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 93741664047768 in words is "ninety-three trillion, seven hundred forty-one billion, six hundred sixty-four million, forty-seven thousand, seven hundred sixty-eight".