6424148465280 has 2304 divisors, whose sum is σ = 30345145084800. Its totient is φ = 1283710353408.

The previous prime is 6424148465263. The next prime is 6424148465291. The reversal of 6424148465280 is 825648414246.

6424148465280 is a `hidden beast` number, since 6 + 4 + 24 + 1 + 484 + 65 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1882256854 + ... + 1882260266.

Almost surely, 2^{6424148465280} is an apocalyptic number.

6424148465280 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 6424148465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172572542400).

6424148465280 is an abundant number, since it is smaller than the sum of its proper divisors (23920996619520).

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

6424148465280 is a wasteful number, since it uses less digits than its factorization.

6424148465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 6424148465280 in words is "six trillion, four hundred twenty-four billion, one hundred forty-eight million, four hundred sixty-five thousand, two hundred eighty".