13407657984 has 336 divisors, whose sum is σ = 44940272832. Its totient is φ = 3772514304.

The previous prime is 13407657983. The next prime is 13407657997. The reversal of 13407657984 is 48975670431.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 13407657984.

It is not an unprimeable number, because it can be changed into a prime (13407657983) 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 23 ways as a sum of consecutive naturals, for example, 42835812 + ... + 42836124.

It is an arithmetic number, because the mean of its divisors is an integer number (133750812).

Almost surely, 2^13407657984 is an apocalyptic number.

13407657984 is a gapful number since it is divisible by the number (14) 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 13407657984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470136416).

13407657984 is an abundant number, since it is smaller than the sum of its proper divisors (31532614848).

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

13407657984 is an equidigital number, since it uses as much as digits as its factorization.

13407657984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13407657984 in words is "thirteen billion, four hundred seven million, six hundred fifty-seven thousand, nine hundred eighty-four".