7161513600 has 192 divisors, whose sum is σ = 23645183040. Its totient is φ = 1905131520.

The previous prime is 7161513581. The next prime is 7161513607. The reversal of 7161513600 is 63151617.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7161513607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6210624 + ... + 6211776.

It is an arithmetic number, because the mean of its divisors is an integer number (123151995).

Almost surely, 2^7161513600 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 7161513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822591520).

7161513600 is an abundant number, since it is smaller than the sum of its proper divisors (16483669440).

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

7161513600 is a wasteful number, since it uses less digits than its factorization.

7161513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 7161513600 is about 84625.7265847685. The cubic root of 7161513600 is about 1927.5320455408.

The spelling of 7161513600 in words is "seven billion, one hundred sixty-one million, five hundred thirteen thousand, six hundred".