23632773120 has 768 divisors, whose sum is σ = 94219407360. Its totient is φ = 5426380800.

The previous prime is 23632773107. The next prime is 23632773127. The reversal of 23632773120 is 2137723632.

23632773120 is a `hidden beast` number, since 2 + 3 + 632 + 7 + 7 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23632773127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502824937 + ... + 502824983.

It is an arithmetic number, because the mean of its divisors is an integer number (122681520).

Almost surely, 2^23632773120 is an apocalyptic number.

23632773120 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 23632773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47109703680).

23632773120 is an abundant number, since it is smaller than the sum of its proper divisors (70586634240).

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

23632773120 is a wasteful number, since it uses less digits than its factorization.

23632773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 23632773120 in words is "twenty-three billion, six hundred thirty-two million, seven hundred seventy-three thousand, one hundred twenty".