7385905612800 has 864 divisors, whose sum is σ = 31076160373440. Its totient is φ = 1652775321600.

The previous prime is 7385905612751. The next prime is 7385905612837. The reversal of 7385905612800 is 82165095837.

7385905612800 is a `hidden beast` number, since 7 + 3 + 8 + 59 + 0 + 561 + 28 + 0 + 0 = 666.

It is a super-3 number, since 3×7385905612800³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65838357 + ... + 65950443.

It is an arithmetic number, because the mean of its divisors is an integer number (35967778210).

Almost surely, 2^{7385905612800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7385905612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15538080186720).

7385905612800 is an abundant number, since it is smaller than the sum of its proper divisors (23690254760640).

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

7385905612800 is a wasteful number, since it uses less digits than its factorization.

7385905612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112149 (or 112121 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 7385905612800 in words is "seven trillion, three hundred eighty-five billion, nine hundred five million, six hundred twelve thousand, eight hundred".