23795634240 has 672 divisors, whose sum is σ = 96568442880. Its totient is φ = 5266280448.

The previous prime is 23795634209. The next prime is 23795634241. The reversal of 23795634240 is 4243659732.

23795634240 is a `hidden beast` number, since 2 + 3 + 7 + 9 + 5 + 634 + 2 + 4 + 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 not an unprimeable number, because it can be changed into a prime (23795634241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106706769 + ... + 106706991.

It is an arithmetic number, because the mean of its divisors is an integer number (143703040).

Almost surely, 2^23795634240 is an apocalyptic number.

23795634240 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 23795634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48284221440).

23795634240 is an abundant number, since it is smaller than the sum of its proper divisors (72772808640).

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

23795634240 is a wasteful number, since it uses less digits than its factorization.

23795634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 23795634240 in words is "twenty-three billion, seven hundred ninety-five million, six hundred thirty-four thousand, two hundred forty".