6897038400 has 504 divisors, whose sum is σ = 28566368064. Its totient is φ = 1545523200.

The previous prime is 6897038389. The next prime is 6897038411. The reversal of 6897038400 is 48307986.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6897038389) and next prime (6897038411).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5341755 + ... + 5343045.

Almost surely, 2^6897038400 is an apocalyptic number.

6897038400 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 6897038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283184032).

6897038400 is an abundant number, since it is smaller than the sum of its proper divisors (21669329664).

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

6897038400 is a wasteful number, since it uses less digits than its factorization.

6897038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6897038400 is about 83048.4099787588. The cubic root of 6897038400 is about 1903.5058447378.

The spelling of 6897038400 in words is "six billion, eight hundred ninety-seven million, thirty-eight thousand, four hundred".