6437797538400 has 648 divisors, whose sum is σ = 23919866530560. Its totient is φ = 1629052508160.

The previous prime is 6437797538317. The next prime is 6437797538441. The reversal of 6437797538400 is 48357977346.

6437797538400 is a `hidden beast` number, since 6 + 4 + 3 + 7 + 7 + 97 + 538 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 483710946 + ... + 483724254.

Almost surely, 2^{6437797538400} is an apocalyptic number.

6437797538400 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 6437797538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959933265280).

6437797538400 is an abundant number, since it is smaller than the sum of its proper divisors (17482068992160).

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

6437797538400 is a wasteful number, since it uses less digits than its factorization.

6437797538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 6437797538400 in words is "six trillion, four hundred thirty-seven billion, seven hundred ninety-seven million, five hundred thirty-eight thousand, four hundred".