13648590720 has 768 divisors, whose sum is σ = 53464320000. Its totient is φ = 3314442240.

The previous prime is 13648590719. The next prime is 13648590727. The reversal of 13648590720 is 2709584631.

13648590720 is a `hidden beast` number, since 1 + 36 + 4 + 8 + 590 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13648590727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91601206 + ... + 91601354.

It is an arithmetic number, because the mean of its divisors is an integer number (69615000).

It is a 1-persistent number, because it is pandigital, but 2⋅13648590720 = 27297181440 is not.

Almost surely, 2^13648590720 is an apocalyptic number.

13648590720 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 13648590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160000).

13648590720 is an abundant number, since it is smaller than the sum of its proper divisors (39815729280).

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

13648590720 is a wasteful number, since it uses less digits than its factorization.

13648590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13648590720 in words is "thirteen billion, six hundred forty-eight million, five hundred ninety thousand, seven hundred twenty".