6896210400 has 360 divisors, whose sum is σ = 25967962944. Its totient is φ = 1779148800.

The previous prime is 6896210393. The next prime is 6896210401. The reversal of 6896210400 is 40126986.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6896210401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2007084 + ... + 2010516.

Almost surely, 2^6896210400 is an apocalyptic number.

6896210400 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 6896210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983981472).

6896210400 is an abundant number, since it is smaller than the sum of its proper divisors (19071752544).

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

6896210400 is a wasteful number, since it uses less digits than its factorization.

6896210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6896210400 is about 83043.4247848678. The cubic root of 6896210400 is about 1903.4296687608.

The spelling of 6896210400 in words is "six billion, eight hundred ninety-six million, two hundred ten thousand, four hundred".