23675820480 has 784 divisors, whose sum is σ = 93933958944. Its totient is φ = 5643509760.

The previous prime is 23675820473. The next prime is 23675820481. The reversal of 23675820480 is 8402857632.

23675820480 is a `hidden beast` number, since 2 + 3 + 67 + 582 + 0 + 4 + 8 + 0 = 666.

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 (23675820481) 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 111 ways as a sum of consecutive naturals, for example, 112207575 + ... + 112207785.

Almost surely, 2^23675820480 is an apocalyptic number.

23675820480 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 23675820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46966979472).

23675820480 is an abundant number, since it is smaller than the sum of its proper divisors (70258138464).

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

23675820480 is a wasteful number, since it uses less digits than its factorization.

23675820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23675820480 in words is "twenty-three billion, six hundred seventy-five million, eight hundred twenty thousand, four hundred eighty".