13474684800 has 384 divisors, whose sum is σ = 49934304000. Its totient is φ = 3548067840.

The previous prime is 13474684793. The next prime is 13474684831. The reversal of 13474684800 is 848647431.

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 (45).

It is a congruent number.

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, 7170261 + ... + 7172139.

It is an arithmetic number, because the mean of its divisors is an integer number (130037250).

Almost surely, 2^13474684800 is an apocalyptic number.

13474684800 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 13474684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967152000).

13474684800 is an abundant number, since it is smaller than the sum of its proper divisors (36459619200).

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

13474684800 is a wasteful number, since it uses less digits than its factorization.

13474684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13474684800 in words is "thirteen billion, four hundred seventy-four million, six hundred eighty-four thousand, eight hundred".