6462480448 has 56 divisors (see below), whose sum is σ = 13185648000. Its totient is φ = 3141047808.

The previous prime is 6462480433. The next prime is 6462480463. The reversal of 6462480448 is 8440842646.

It is an interprime number because it is at equal distance from previous prime (6462480433) and next prime (6462480463).

It is a super-3 number, since 3×6462480448³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6462480398 and 6462480407.

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, 440983 + ... + 455401.

It is an arithmetic number, because the mean of its divisors is an integer number (235458000).

Almost surely, 2^6462480448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6462480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592824000).

6462480448 is an abundant number, since it is smaller than the sum of its proper divisors (6723167552).

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

6462480448 is a wasteful number, since it uses less digits than its factorization.

6462480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14627 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 46.

The square root of 6462480448 is about 80389.5543463204. The cubic root of 6462480448 is about 1862.6578228678.

The spelling of 6462480448 in words is "six billion, four hundred sixty-two million, four hundred eighty thousand, four hundred forty-eight".