6260496480 has 288 divisors, whose sum is σ = 25321330944. Its totient is φ = 1430908416.

The previous prime is 6260496479. The next prime is 6260496499. The reversal of 6260496480 is 846940626.

6260496480 is a `hidden beast` number, since 62 + 60 + 496 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260659 + ... + 283661.

It is an arithmetic number, because the mean of its divisors is an integer number (87921288).

Almost surely, 2^6260496480 is an apocalyptic number.

6260496480 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 6260496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660665472).

6260496480 is an abundant number, since it is smaller than the sum of its proper divisors (19060834464).

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

6260496480 is a wasteful number, since it uses less digits than its factorization.

6260496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23040 (or 23020 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6260496480 is about 79123.2992234272. The cubic root of 6260496480 is about 1843.0463556012.

The spelling of 6260496480 in words is "six billion, two hundred sixty million, four hundred ninety-six thousand, four hundred eighty".