6897290400 has 1728 divisors, whose sum is σ = 34910265600. Its totient is φ = 1277337600.

The previous prime is 6897290381. The next prime is 6897290401. The reversal of 6897290400 is 40927986.

It is a happy number.

It is a super-2 number, since 2×6897290400² = 95145229723864320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6897290401) 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, 237837586 + ... + 237837614.

It is an arithmetic number, because the mean of its divisors is an integer number (20202700).

Almost surely, 2^6897290400 is an apocalyptic number.

6897290400 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 6897290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17455132800).

6897290400 is an abundant number, since it is smaller than the sum of its proper divisors (28012975200).

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

6897290400 is a wasteful number, since it uses less digits than its factorization.

6897290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6897290400 is about 83049.9271522859. The cubic root of 6897290400 is about 1903.5290275206.

The spelling of 6897290400 in words is "six billion, eight hundred ninety-seven million, two hundred ninety thousand, four hundred".