6768230400 has 612 divisors, whose sum is σ = 26622092952. Its totient is φ = 1698693120.

The previous prime is 6768230393. The next prime is 6768230459. The reversal of 6768230400 is 40328676.

It is a tau number, because it is divible by the number of its divisors (612).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 398131192 + ... + 398131208.

Almost surely, 2^6768230400 is an apocalyptic number.

6768230400 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 6768230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311046476).

6768230400 is an abundant number, since it is smaller than the sum of its proper divisors (19853862552).

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

6768230400 is an frugal number, since it uses more digits than its factorization.

6768230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6768230400 is about 82269.2554968136. The cubic root of 6768230400 is about 1891.5814428109.

The spelling of 6768230400 in words is "six billion, seven hundred sixty-eight million, two hundred thirty thousand, four hundred".