7261161600 has 1152 divisors, whose sum is σ = 32297932800. Its totient is φ = 1398988800.

The previous prime is 7261161599. The next prime is 7261161637. The reversal of 7261161600 is 61611627.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154492777 + ... + 154492823.

It is an arithmetic number, because the mean of its divisors is an integer number (28036400).

Almost surely, 2^7261161600 is an apocalyptic number.

7261161600 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 7261161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148966400).

7261161600 is an abundant number, since it is smaller than the sum of its proper divisors (25036771200).

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

7261161600 is a wasteful number, since it uses less digits than its factorization.

7261161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7261161600 is about 85212.4497946163. The cubic root of 7261161600 is about 1936.4310335036.

It can be divided in two parts, 7261 and 161600, that added together give a palindrome (168861).

The spelling of 7261161600 in words is "seven billion, two hundred sixty-one million, one hundred sixty-one thousand, six hundred".