6478861606560 has 864 divisors, whose sum is σ = 26707743159552. Its totient is φ = 1478860830720.

The previous prime is 6478861606543. The next prime is 6478861606577. The reversal of 6478861606560 is 656061688746.

6478861606560 is a `hidden beast` number, since 6 + 4 + 7 + 8 + 8 + 6 + 1 + 60 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6478861606543) and next prime (6478861606577).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1735562454 + ... + 1735566186.

It is an arithmetic number, because the mean of its divisors is an integer number (30911739768).

Almost surely, 2^{6478861606560} is an apocalyptic number.

6478861606560 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 6478861606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353871579776).

6478861606560 is an abundant number, since it is smaller than the sum of its proper divisors (20228881552992).

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

6478861606560 is a wasteful number, since it uses less digits than its factorization.

6478861606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6478861606560 in words is "six trillion, four hundred seventy-eight billion, eight hundred sixty-one million, six hundred six thousand, five hundred sixty".