6997208400 has 1080 divisors, whose sum is σ = 31604691456. Its totient is φ = 1401753600.

The previous prime is 6997208399. The next prime is 6997208443. The reversal of 6997208400 is 48027996.

It is a happy number.

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 215 ways as a sum of consecutive naturals, for example, 132022774 + ... + 132022826.

Almost surely, 2^6997208400 is an apocalyptic number.

6997208400 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 6997208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802345728).

6997208400 is an abundant number, since it is smaller than the sum of its proper divisors (24607483056).

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

6997208400 is a wasteful number, since it uses less digits than its factorization.

6997208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

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

The square root of 6997208400 is about 83649.3179888515. The cubic root of 6997208400 is about 1912.6768566424.

The spelling of 6997208400 in words is "six billion, nine hundred ninety-seven million, two hundred eight thousand, four hundred".