6461268480 has 160 divisors (see below), whose sum is σ = 22951209600. Its totient is φ = 1722986496.

The previous prime is 6461268461. The next prime is 6461268487. The reversal of 6461268480 is 848621646.

6461268480 is a `hidden beast` number, since 6 + 46 + 126 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461268487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22381 + ... + 115859.

It is an arithmetic number, because the mean of its divisors is an integer number (143445060).

Almost surely, 2^6461268480 is an apocalyptic number.

6461268480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475604800).

6461268480 is an abundant number, since it is smaller than the sum of its proper divisors (16489941120).

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

6461268480 is an equidigital number, since it uses as much as digits as its factorization.

6461268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93511 (or 93489 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6461268480 is about 80382.0158990803. The cubic root of 6461268480 is about 1862.5413751750.

The spelling of 6461268480 in words is "six billion, four hundred sixty-one million, two hundred sixty-eight thousand, four hundred eighty".