6993488400 has 240 divisors, whose sum is σ = 23754812928. Its totient is φ = 1755648000.

The previous prime is 6993488389. The next prime is 6993488419. The reversal of 6993488400 is 48843996.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373860 + ... + 1378940.

Almost surely, 2^6993488400 is an apocalyptic number.

6993488400 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 6993488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877406464).

6993488400 is an abundant number, since it is smaller than the sum of its proper divisors (16761324528).

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

6993488400 is a wasteful number, since it uses less digits than its factorization.

6993488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 6993488400 is about 83627.0793463457. The cubic root of 6993488400 is about 1912.3378443404.

The spelling of 6993488400 in words is "six billion, nine hundred ninety-three million, four hundred eighty-eight thousand, four hundred".