13652634240 has 384 divisors, whose sum is σ = 55879125120. Its totient is φ = 3120353280.

The previous prime is 13652634223. The next prime is 13652634257. The reversal of 13652634240 is 4243625631.

13652634240 is a `hidden beast` number, since 1 + 365 + 26 + 34 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (13652634223) and next prime (13652634257).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 13652634195 and 13652634204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082370 + ... + 1094910.

It is an arithmetic number, because the mean of its divisors is an integer number (145518555).

Almost surely, 2^13652634240 is an apocalyptic number.

13652634240 is a gapful number since it is divisible by the number (10) 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 13652634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27939562560).

13652634240 is an abundant number, since it is smaller than the sum of its proper divisors (42226490880).

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

13652634240 is an equidigital number, since it uses as much as digits as its factorization.

13652634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13652634240 in words is "thirteen billion, six hundred fifty-two million, six hundred thirty-four thousand, two hundred forty".