6354456276672 has 336 divisors, whose sum is σ = 21267931576320. Its totient is φ = 1776165083136.

The previous prime is 6354456276671. The next prime is 6354456276683. The reversal of 6354456276672 is 2766726544536.

6354456276672 is a `hidden beast` number, since 6 + 3 + 5 + 4 + 4 + 562 + 7 + 6 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×6354456276672² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6354456276671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551261373 + ... + 551272899.

Almost surely, 2^{6354456276672} 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 6354456276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10633965788160).

6354456276672 is an abundant number, since it is smaller than the sum of its proper divisors (14913475299648).

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

6354456276672 is a wasteful number, since it uses less digits than its factorization.

6354456276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14508 (or 14495 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 63.

The spelling of 6354456276672 in words is "six trillion, three hundred fifty-four billion, four hundred fifty-six million, two hundred seventy-six thousand, six hundred seventy-two".