6454226304 has 96 divisors (see below), whose sum is σ = 18746643240. Its totient is φ = 2131261440.

The previous prime is 6454226287. The next prime is 6454226321. The reversal of 6454226304 is 4036224546.

6454226304 is a `hidden beast` number, since 64 + 542 + 26 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6454226287) and next prime (6454226321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97084 + ... + 149444.

Almost surely, 2^6454226304 is an apocalyptic number.

6454226304 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 6454226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373321620).

6454226304 is an abundant number, since it is smaller than the sum of its proper divisors (12292416936).

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

6454226304 is a wasteful number, since it uses less digits than its factorization.

6454226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52488 (or 52473 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 6454226304 is about 80338.1995317296. The cubic root of 6454226304 is about 1861.8644641168.

The spelling of 6454226304 in words is "six billion, four hundred fifty-four million, two hundred twenty-six thousand, three hundred four".