7260801966 has 96 divisors (see below), whose sum is σ = 18961682688. Its totient is φ = 1980760320.

The previous prime is 7260801953. The next prime is 7260802009. The reversal of 7260801966 is 6691080627.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30525 + ... + 124311.

It is an arithmetic number, because the mean of its divisors is an integer number (197517528).

Almost surely, 2^7260801966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7260801966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480841344).

7260801966 is an abundant number, since it is smaller than the sum of its proper divisors (11700880722).

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

7260801966 is a wasteful number, since it uses less digits than its factorization.

7260801966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93846 (or 93843 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7260801966 is about 85210.3395486721. The cubic root of 7260801966 is about 1936.3990635070.

The spelling of 7260801966 in words is "seven billion, two hundred sixty million, eight hundred one thousand, nine hundred sixty-six".