9474617304768 has 1344 divisors, whose sum is σ = 35233514496000. Its totient is φ = 2217160028160.

The previous prime is 9474617304739. The next prime is 9474617304769. The reversal of 9474617304768 is 8674037164749.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 9474617304699 and 9474617304708.

It is not an unprimeable number, because it can be changed into a prime (9474617304769) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 54766573930 + ... + 54766574102.

Almost surely, 2^{9474617304768} is an apocalyptic number.

9474617304768 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9474617304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616757248000).

9474617304768 is an abundant number, since it is smaller than the sum of its proper divisors (25758897191232).

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

9474617304768 is a wasteful number, since it uses less digits than its factorization.

9474617304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 66.

The spelling of 9474617304768 in words is "nine trillion, four hundred seventy-four billion, six hundred seventeen million, three hundred four thousand, seven hundred sixty-eight".