13376678400 has 360 divisors, whose sum is σ = 48482834400. Its totient is φ = 3521617920.

The previous prime is 13376678389. The next prime is 13376678423. The reversal of 13376678400 is 487667331.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9560901 + ... + 9562299.

It is an arithmetic number, because the mean of its divisors is an integer number (134674540).

Almost surely, 2^13376678400 is an apocalyptic number.

13376678400 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 13376678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24241417200).

13376678400 is an abundant number, since it is smaller than the sum of its proper divisors (35106156000).

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

13376678400 is a wasteful number, since it uses less digits than its factorization.

13376678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13376678400 in words is "thirteen billion, three hundred seventy-six million, six hundred seventy-eight thousand, four hundred".