6454575720 has 288 divisors, whose sum is σ = 22511230560. Its totient is φ = 1663286400.

The previous prime is 6454575713. The next prime is 6454575731. The reversal of 6454575720 is 275754546.

6454575720 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 575 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9340575 + ... + 9341265.

It is an arithmetic number, because the mean of its divisors is an integer number (78163995).

Almost surely, 2^6454575720 is an apocalyptic number.

6454575720 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 6454575720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255615280).

6454575720 is an abundant number, since it is smaller than the sum of its proper divisors (16056654840).

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

6454575720 is a wasteful number, since it uses less digits than its factorization.

6454575720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The square root of 6454575720 is about 80340.3741589495. The cubic root of 6454575720 is about 1861.8980624374.

The spelling of 6454575720 in words is "six billion, four hundred fifty-four million, five hundred seventy-five thousand, seven hundred twenty".