7161628500 has 576 divisors, whose sum is σ = 26026640640. Its totient is φ = 1698278400.

The previous prime is 7161628493. The next prime is 7161628549. The reversal of 7161628500 is 58261617.

7161628500 is a `hidden beast` number, since 71 + 61 + 6 + 28 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 98104464 + ... + 98104536.

It is an arithmetic number, because the mean of its divisors is an integer number (45185140).

Almost surely, 2^7161628500 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 7161628500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13013320320).

7161628500 is an abundant number, since it is smaller than the sum of its proper divisors (18865012140).

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

7161628500 is a wasteful number, since it uses less digits than its factorization.

7161628500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7161628500 is about 84626.4054536171. The cubic root of 7161628500 is about 1927.5423539876.

The spelling of 7161628500 in words is "seven billion, one hundred sixty-one million, six hundred twenty-eight thousand, five hundred".