23670480960 has 420 divisors, whose sum is σ = 97952269932. Its totient is φ = 5410105344.

The previous prime is 23670480959. The next prime is 23670480983. The reversal of 23670480960 is 6908407632.

23670480960 is a `hidden beast` number, since 23 + 67 + 0 + 480 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2747437056 + 20923043904 = 52416^2 + 144648^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1260762 + ... + 1279398.

Almost surely, 2^23670480960 is an apocalyptic number.

23670480960 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 23670480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48976134966).

23670480960 is an abundant number, since it is smaller than the sum of its proper divisors (74281788972).

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

23670480960 is a wasteful number, since it uses less digits than its factorization.

23670480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18680 (or 18654 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23670480960 in words is "twenty-three billion, six hundred seventy million, four hundred eighty thousand, nine hundred sixty".