23634827274240 has 5184 divisors, whose sum is σ = 113439958894080. Its totient is φ = 4695400120320.

The previous prime is 23634827274239. The next prime is 23634827274281. The reversal of 23634827274240 is 4247272843632.

It is a happy number.

23634827274240 is a `hidden beast` number, since 2 + 3 + 6 + 3 + 482 + 72 + 74 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 638779115502 + ... + 638779115538.

It is an arithmetic number, because the mean of its divisors is an integer number (21882708120).

Almost surely, 2^{23634827274240} is an apocalyptic number.

23634827274240 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 23634827274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56719979447040).

23634827274240 is an abundant number, since it is smaller than the sum of its proper divisors (89805131619840).

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

23634827274240 is a wasteful number, since it uses less digits than its factorization.

23634827274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 23634827274240 in words is "twenty-three trillion, six hundred thirty-four billion, eight hundred twenty-seven million, two hundred seventy-four thousand, two hundred forty".