7161061600 has 288 divisors, whose sum is σ = 22030589952. Its totient is φ = 2208000000.

The previous prime is 7161061591. The next prime is 7161061613. The reversal of 7161061600 is 61601617.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6221025 + ... + 6222175.

It is an arithmetic number, because the mean of its divisors is an integer number (76495104).

Almost surely, 2^7161061600 is an apocalyptic number.

7161061600 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 7161061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015294976).

7161061600 is an abundant number, since it is smaller than the sum of its proper divisors (14869528352).

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

7161061600 is a wasteful number, since it uses less digits than its factorization.

7161061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 7161061600 is about 84623.0559599451. The cubic root of 7161061600 is about 1927.4914925300.

The spelling of 7161061600 in words is "seven billion, one hundred sixty-one million, sixty-one thousand, six hundred".