7261540461 has 64 divisors (see below), whose sum is σ = 12514122240. Its totient is φ = 4075868160.

The previous prime is 7261540457. The next prime is 7261540469. The reversal of 7261540461 is 1640451627.

7261540461 is a `hidden beast` number, since 72 + 6 + 1 + 540 + 46 + 1 = 666.

It is not a de Polignac number, because 7261540461 - 2² = 7261540457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7261540469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3876021 + ... + 3877893.

It is an arithmetic number, because the mean of its divisors is an integer number (195533160).

Almost surely, 2^7261540461 is an apocalyptic number.

It is an amenable number.

7261540461 is a deficient number, since it is larger than the sum of its proper divisors (5252581779).

7261540461 is a wasteful number, since it uses less digits than its factorization.

7261540461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7261540461 is about 85214.6728034556. The cubic root of 7261540461 is about 1936.4647115604.

The spelling of 7261540461 in words is "seven billion, two hundred sixty-one million, five hundred forty thousand, four hundred sixty-one".