6913328400 has 240 divisors, whose sum is σ = 26843728320. Its totient is φ = 1675929600.

The previous prime is 6913328377. The next prime is 6913328437. The reversal of 6913328400 is 48233196.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 89704 + ... + 147896.

It is an arithmetic number, because the mean of its divisors is an integer number (111848868).

Almost surely, 2^6913328400 is an apocalyptic number.

6913328400 is a gapful number since it is divisible by the number (60) 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 6913328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421864160).

6913328400 is an abundant number, since it is smaller than the sum of its proper divisors (19930399920).

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

6913328400 is a wasteful number, since it uses less digits than its factorization.

6913328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58231 (or 58214 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6913328400 is about 83146.4274638424. The cubic root of 6913328400 is about 1905.0032860009.

The spelling of 6913328400 in words is "six billion, nine hundred thirteen million, three hundred twenty-eight thousand, four hundred".