6459966241344 has 672 divisors, whose sum is σ = 23460491698176. Its totient is φ = 1650855997440.

The previous prime is 6459966241277. The next prime is 6459966241357. The reversal of 6459966241344 is 4431426699546.

6459966241344 is a `hidden beast` number, since 6 + 4 + 599 + 6 + 6 + 2 + 4 + 1 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717211689 + ... + 717220695.

Almost surely, 2^{6459966241344} is an apocalyptic number.

6459966241344 is a gapful number since it is divisible by the number (64) 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 6459966241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11730245849088).

6459966241344 is an abundant number, since it is smaller than the sum of its proper divisors (17000525456832).

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

6459966241344 is a wasteful number, since it uses less digits than its factorization.

6459966241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9290 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 6459966241344 in words is "six trillion, four hundred fifty-nine billion, nine hundred sixty-six million, two hundred forty-one thousand, three hundred forty-four".