6427946004480 has 4160 divisors, whose sum is σ = 31969276416000. Its totient is φ = 1217325957120.

The previous prime is 6427946004449. The next prime is 6427946004503. The reversal of 6427946004480 is 844006497246.

6427946004480 is a `hidden beast` number, since 6 + 4 + 27 + 9 + 4 + 600 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 81366405081 + ... + 81366405159.

Almost surely, 2^{6427946004480} is an apocalyptic number.

6427946004480 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 6427946004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984638208000).

6427946004480 is an abundant number, since it is smaller than the sum of its proper divisors (25541330411520).

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

6427946004480 is a wasteful number, since it uses less digits than its factorization.

6427946004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 6427946004480 in words is "six trillion, four hundred twenty-seven billion, nine hundred forty-six million, four thousand, four hundred eighty".