6738735772800 has 480 divisors, whose sum is σ = 24905783271600. Its totient is φ = 1794223872000.

The previous prime is 6738735772799. The next prime is 6738735772877. The reversal of 6738735772800 is 82775378376.

6738735772800 is a `hidden beast` number, since 6 + 7 + 38 + 7 + 3 + 577 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6738735772800² (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 59 ways as a sum of consecutive naturals, for example, 170793075 + ... + 170832525.

Almost surely, 2^{6738735772800} is an apocalyptic number.

6738735772800 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 6738735772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452891635800).

6738735772800 is an abundant number, since it is smaller than the sum of its proper divisors (18167047498800).

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

6738735772800 is a wasteful number, since it uses less digits than its factorization.

6738735772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40146 (or 40120 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 6738735772800 in words is "six trillion, seven hundred thirty-eight billion, seven hundred thirty-five million, seven hundred seventy-two thousand, eight hundred".