13030748640 has 1152 divisors, whose sum is σ = 59175567360. Its totient is φ = 2633637888.

The previous prime is 13030748629. The next prime is 13030748671. The reversal of 13030748640 is 4684703031.

13030748640 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 0 + 7 + 4 + 8 + 640 = 666.

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 = 13030748595 and 13030748604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102604257 + ... + 102604383.

It is an arithmetic number, because the mean of its divisors is an integer number (51367680).

Almost surely, 2^13030748640 is an apocalyptic number.

13030748640 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 13030748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29587783680).

13030748640 is an abundant number, since it is smaller than the sum of its proper divisors (46144818720).

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

13030748640 is a wasteful number, since it uses less digits than its factorization.

13030748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13030748640 in words is "thirteen billion, thirty million, seven hundred forty-eight thousand, six hundred forty".