6913427400 has 1152 divisors, whose sum is σ = 30083788800. Its totient is φ = 1398988800.

The previous prime is 6913427387. The next prime is 6913427401. The reversal of 6913427400 is 47243196.

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

It is not an unprimeable number, because it can be changed into a prime (6913427401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 147094177 + ... + 147094223.

It is an arithmetic number, because the mean of its divisors is an integer number (26114400).

Almost surely, 2^6913427400 is an apocalyptic number.

6913427400 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 6913427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041894400).

6913427400 is an abundant number, since it is smaller than the sum of its proper divisors (23170361400).

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

6913427400 is a wasteful number, since it uses less digits than its factorization.

6913427400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6913427400 is about 83147.0227969709. The cubic root of 6913427400 is about 1905.0123792776.

The spelling of 6913427400 in words is "six billion, nine hundred thirteen million, four hundred twenty-seven thousand, four hundred".