9578087633664 has 2304 divisors, whose sum is σ = 35602882560000. Its totient is φ = 2505041510400.

The previous prime is 9578087633633. The next prime is 9578087633669. The reversal of 9578087633664 is 4663367808759.

9578087633664 is a `hidden beast` number, since 9 + 57 + 80 + 87 + 63 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 9578087633592 and 9578087633601.

It is not an unprimeable number, because it can be changed into a prime (9578087633669) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107618962132 + ... + 107618962220.

It is an arithmetic number, because the mean of its divisors is an integer number (15452640000).

Almost surely, 2^{9578087633664} 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 9578087633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801441280000).

9578087633664 is an abundant number, since it is smaller than the sum of its proper divisors (26024794926336).

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

9578087633664 is a wasteful number, since it uses less digits than its factorization.

9578087633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 9578087633664 in words is "nine trillion, five hundred seventy-eight billion, eighty-seven million, six hundred thirty-three thousand, six hundred sixty-four".