23632376201280 has 672 divisors, whose sum is σ = 105096465976320. Its totient is φ = 4910622382080.

The previous prime is 23632376201279. The next prime is 23632376201309. The reversal of 23632376201280 is 8210267323632.

23632376201280 is a `hidden beast` number, since 2 + 3 + 6 + 3 + 2 + 3 + 7 + 620 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 4014051 + ... + 7960989.

It is an arithmetic number, because the mean of its divisors is an integer number (156393550560).

Almost surely, 2^{23632376201280} is an apocalyptic number.

23632376201280 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 23632376201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52548232988160).

23632376201280 is an abundant number, since it is smaller than the sum of its proper divisors (81464089775040).

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

23632376201280 is a wasteful number, since it uses less digits than its factorization.

23632376201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946989 (or 3946967 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 23632376201280 in words is "twenty-three trillion, six hundred thirty-two billion, three hundred seventy-six million, two hundred one thousand, two hundred eighty".