6758400000 has 408 divisors, whose sum is σ = 24574239648. Its totient is φ = 1638400000.

The previous prime is 6758399969. The next prime is 6758400029. The reversal of 6758400000 is 48576.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614399995 + ... + 614400005.

Almost surely, 2^6758400000 is an apocalyptic number.

6758400000 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 6758400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287119824).

6758400000 is an abundant number, since it is smaller than the sum of its proper divisors (17815839648).

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

6758400000 is an frugal number, since it uses more digits than its factorization.

6758400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6758400000 is about 82209.4885034568. The cubic root of 6758400000 is about 1890.6652007480.

Adding to 6758400000 its reverse (48576), we get a palindrome (6758448576).

The spelling of 6758400000 in words is "six billion, seven hundred fifty-eight million, four hundred thousand".