7042161600 has 672 divisors, whose sum is σ = 27938211840. Its totient is φ = 1718599680.

The previous prime is 7042161541. The next prime is 7042161601. The reversal of 7042161600 is 61612407.

7042161600 is a `hidden beast` number, since 7 + 0 + 42 + 1 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042161601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 31579089 + ... + 31579311.

It is an arithmetic number, because the mean of its divisors is an integer number (41574720).

Almost surely, 2^7042161600 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 7042161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13969105920).

7042161600 is an abundant number, since it is smaller than the sum of its proper divisors (20896050240).

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

7042161600 is a wasteful number, since it uses less digits than its factorization.

7042161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7042161600 is about 83917.5881445600. The cubic root of 7042161600 is about 1916.7640805771.

The spelling of 7042161600 in words is "seven billion, forty-two million, one hundred sixty-one thousand, six hundred".