6745285238400 has 1920 divisors, whose sum is σ = 26815686543360. Its totient is φ = 1666577203200.

The previous prime is 6745285238383. The next prime is 6745285238411. The reversal of 6745285238400 is 48325825476.

6745285238400 is a `hidden beast` number, since 6 + 74 + 5 + 2 + 8 + 523 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20015683032 + ... + 20015683368.

It is an arithmetic number, because the mean of its divisors is an integer number (13966503408).

Almost surely, 2^{6745285238400} is an apocalyptic number.

6745285238400 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 6745285238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13407843271680).

6745285238400 is an abundant number, since it is smaller than the sum of its proper divisors (20070401304960).

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

6745285238400 is a wasteful number, since it uses less digits than its factorization.

6745285238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 6745285238400 in words is "six trillion, seven hundred forty-five billion, two hundred eighty-five million, two hundred thirty-eight thousand, four hundred".