7461167616 has 480 divisors, whose sum is σ = 26197966080. Its totient is φ = 1998323712.

The previous prime is 7461167599. The next prime is 7461167629. The reversal of 7461167616 is 6167611647.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 66027976 + ... + 66028088.

It is an arithmetic number, because the mean of its divisors is an integer number (54579096).

Almost surely, 2^7461167616 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 7461167616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098983040).

7461167616 is an abundant number, since it is smaller than the sum of its proper divisors (18736798464).

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

7461167616 is a wasteful number, since it uses less digits than its factorization.

7461167616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7461167616 is about 86378.0505452629. The cubic root of 7461167616 is about 1954.0496700063.

The spelling of 7461167616 in words is "seven billion, four hundred sixty-one million, one hundred sixty-seven thousand, six hundred sixteen".