23360320736640 has 960 divisors, whose sum is σ = 91275831694080. Its totient is φ = 5673648291840.

The previous prime is 23360320736629. The next prime is 23360320736647. The reversal of 23360320736640 is 4663702306332.

23360320736640 is a `hidden beast` number, since 2 + 3 + 3 + 603 + 2 + 0 + 7 + 36 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23360320736647) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 846896289 + ... + 846923871.

It is an arithmetic number, because the mean of its divisors is an integer number (95078991348).

Almost surely, 2^{23360320736640} is an apocalyptic number.

23360320736640 is a gapful number since it is divisible by the number (20) 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 23360320736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45637915847040).

23360320736640 is an abundant number, since it is smaller than the sum of its proper divisors (67915510957440).

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

23360320736640 is a wasteful number, since it uses less digits than its factorization.

23360320736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27693 (or 27641 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 45.

The spelling of 23360320736640 in words is "twenty-three trillion, three hundred sixty billion, three hundred twenty million, seven hundred thirty-six thousand, six hundred forty".