7385845950000 has 720 divisors, whose sum is σ = 30824998636320. Its totient is φ = 1688178240000.

The previous prime is 7385845949969. The next prime is 7385845950061. The reversal of 7385845950000 is 595485837.

7385845950000 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 84 + 59 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66094174 + ... + 66205826.

It is an arithmetic number, because the mean of its divisors is an integer number (42812498106).

Almost surely, 2^{7385845950000} is an apocalyptic number.

7385845950000 is a gapful number since it is divisible by the number (70) 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 7385845950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15412499318160).

7385845950000 is an abundant number, since it is smaller than the sum of its proper divisors (23439152686320).

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

7385845950000 is a wasteful number, since it uses less digits than its factorization.

7385845950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111709 (or 111670 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 7385845950000 in words is "seven trillion, three hundred eighty-five billion, eight hundred forty-five million, nine hundred fifty thousand".