7161876057600 has 1920 divisors, whose sum is σ = 29440786383360. Its totient is φ = 1690730496000.

The previous prime is 7161876057571. The next prime is 7161876057607. The reversal of 7161876057600 is 67506781617.

7161876057600 is a `hidden beast` number, since 7 + 1 + 6 + 1 + 8 + 7 + 60 + 576 + 0 + 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7161876057607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36354700702 + ... + 36354700898.

It is an arithmetic number, because the mean of its divisors is an integer number (15333742908).

Almost surely, 2^{7161876057600} 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 7161876057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720393191680).

7161876057600 is an abundant number, since it is smaller than the sum of its proper divisors (22278910325760).

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

7161876057600 is a wasteful number, since it uses less digits than its factorization.

7161876057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 7161876057600 in words is "seven trillion, one hundred sixty-one billion, eight hundred seventy-six million, fifty-seven thousand, six hundred".