6454377216 has 864 divisors, whose sum is σ = 25165728000. Its totient is φ = 1616412672.

The previous prime is 6454377203. The next prime is 6454377221. The reversal of 6454377216 is 6127734546.

6454377216 is a `hidden beast` number, since 64 + 5 + 4 + 377 + 216 = 666.

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

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, 109396195 + ... + 109396253.

It is an arithmetic number, because the mean of its divisors is an integer number (29127000).

Almost surely, 2^6454377216 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 6454377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582864000).

6454377216 is an abundant number, since it is smaller than the sum of its proper divisors (18711350784).

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

6454377216 is a wasteful number, since it uses less digits than its factorization.

6454377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 6454377216 is about 80339.1387556526. The cubic root of 6454377216 is about 1861.8789753061.

It can be divided in two parts, 645437 and 7216, that added together give a triangular number (652653 = T₁₁₄₂).

The spelling of 6454377216 in words is "six billion, four hundred fifty-four million, three hundred seventy-seven thousand, two hundred sixteen".