6261456540 has 48 divisors (see below), whose sum is σ = 17622950688. Its totient is φ = 1661067264.

The previous prime is 6261456529. The next prime is 6261456577. The reversal of 6261456540 is 456541626.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258777 + ... + 281936.

It is an arithmetic number, because the mean of its divisors is an integer number (367144806).

Almost surely, 2^6261456540 is an apocalyptic number.

6261456540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6261456540 is an abundant number, since it is smaller than the sum of its proper divisors (11361494148).

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

6261456540 is a wasteful number, since it uses less digits than its factorization.

6261456540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540918 (or 540916 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 6261456540 is about 79129.3658511175. The cubic root of 6261456540 is about 1843.1405624344.

The spelling of 6261456540 in words is "six billion, two hundred sixty-one million, four hundred fifty-six thousand, five hundred forty".