13684070400 has 1152 divisors, whose sum is σ = 61421068800. Its totient is φ = 2595225600.

The previous prime is 13684070383. The next prime is 13684070401. The reversal of 13684070400 is 407048631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13684070401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153753556 + ... + 153753644.

It is an arithmetic number, because the mean of its divisors is an integer number (53316900).

Almost surely, 2^13684070400 is an apocalyptic number.

13684070400 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 13684070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710534400).

13684070400 is an abundant number, since it is smaller than the sum of its proper divisors (47736998400).

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

13684070400 is a wasteful number, since it uses less digits than its factorization.

13684070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 13684070400 in words is "thirteen billion, six hundred eighty-four million, seventy thousand, four hundred".