9374496768 has 768 divisors, whose sum is σ = 36104140800. Its totient is φ = 2364899328.

The previous prime is 9374496767. The next prime is 9374496787. The reversal of 9374496768 is 8676944739.

9374496768 is a `hidden beast` number, since 9 + 3 + 74 + 496 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (54867456) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9374496767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407586805 + ... + 407586827.

It is an arithmetic number, because the mean of its divisors is an integer number (47010600).

Almost surely, 2^9374496768 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 9374496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052070400).

9374496768 is an abundant number, since it is smaller than the sum of its proper divisors (26729644032).

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

9374496768 is an equidigital number, since it uses as much as digits as its factorization.

9374496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 9374496768 is about 96821.9849414378. The cubic root of 9374496768 is about 2108.5439343742.

The spelling of 9374496768 in words is "nine billion, three hundred seventy-four million, four hundred ninety-six thousand, seven hundred sixty-eight".