6726338462400 has 336 divisors, whose sum is σ = 22917911329440. Its totient is φ = 1725091020800.

The previous prime is 6726338462353. The next prime is 6726338462479. The reversal of 6726338462400 is 42648336276.

It is a super-2 number, since 2×6726338462400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35680390 + ... + 35868410.

Almost surely, 2^{6726338462400} is an apocalyptic number.

6726338462400 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 6726338462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11458955664720).

6726338462400 is an abundant number, since it is smaller than the sum of its proper divisors (16191572867040).

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

6726338462400 is a wasteful number, since it uses less digits than its factorization.

6726338462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188332 (or 188317 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 6726338462400 in words is "six trillion, seven hundred twenty-six billion, three hundred thirty-eight million, four hundred sixty-two thousand, four hundred".