7461240960 has 64 divisors (see below), whose sum is σ = 23782711680. Its totient is φ = 1989663744.

The previous prime is 7461240931. The next prime is 7461241003. The reversal of 7461240960 is 690421647.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1941112 + ... + 1944951.

It is an arithmetic number, because the mean of its divisors is an integer number (371604870).

Almost surely, 2^7461240960 is an apocalyptic number.

It is an amenable number.

7461240960 is an abundant number, since it is smaller than the sum of its proper divisors (16321470720).

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

7461240960 is a wasteful number, since it uses less digits than its factorization.

7461240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886085 (or 3886073 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7461240960 is about 86378.4750965193. The cubic root of 7461240960 is about 1954.0560728178.

The spelling of 7461240960 in words is "seven billion, four hundred sixty-one million, two hundred forty thousand, nine hundred sixty".