6461268500 has 24 divisors (see below), whose sum is σ = 14111411496. Its totient is φ = 2584507200.

The previous prime is 6461268487. The next prime is 6461268571. The reversal of 6461268500 is 58621646.

It can be written as a sum of positive squares in 4 ways, for example, as 97377424 + 6363891076 = 9868^2 + 79774^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6460769 + ... + 6461768.

It is an arithmetic number, because the mean of its divisors is an integer number (587975479).

Almost surely, 2^6461268500 is an apocalyptic number.

It is an amenable number.

6461268500 is an abundant number, since it is smaller than the sum of its proper divisors (7650142996).

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

6461268500 is a wasteful number, since it uses less digits than its factorization.

6461268500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922556 (or 12922544 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 6461268500 is about 80382.0160234862. The cubic root of 6461268500 is about 1862.5413770968.

The spelling of 6461268500 in words is "six billion, four hundred sixty-one million, two hundred sixty-eight thousand, five hundred".