7162661610 has 192 divisors, whose sum is σ = 22030444800. Its totient is φ = 1597584384.

The previous prime is 7162661609. The next prime is 7162661617. The reversal of 7162661610 is 161662617.

7162661610 is a `hidden beast` number, since 7 + 1 + 6 + 26 + 616 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (7162661617) 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, 504286 + ... + 518294.

It is an arithmetic number, because the mean of its divisors is an integer number (114741900).

Almost surely, 2^7162661610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7162661610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015222400).

7162661610 is an abundant number, since it is smaller than the sum of its proper divisors (14867783190).

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

7162661610 is a wasteful number, since it uses less digits than its factorization.

7162661610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14077 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7162661610 is about 84632.5091793928. The cubic root of 7162661610 is about 1927.6350362378.

The spelling of 7162661610 in words is "seven billion, one hundred sixty-two million, six hundred sixty-one thousand, six hundred ten".