6455381100 has 576 divisors, whose sum is σ = 24638423040. Its totient is φ = 1269043200.

The previous prime is 6455381071. The next prime is 6455381129. The reversal of 6455381100 is 11835546.

It is an interprime number because it is at equal distance from previous prime (6455381071) and next prime (6455381129).

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 191 ways as a sum of consecutive naturals, for example, 21027147 + ... + 21027453.

It is an arithmetic number, because the mean of its divisors is an integer number (42775040).

Almost surely, 2^6455381100 is an apocalyptic number.

6455381100 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 6455381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319211520).

6455381100 is an abundant number, since it is smaller than the sum of its proper divisors (18183041940).

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

6455381100 is a wasteful number, since it uses less digits than its factorization.

6455381100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 6455381100 is about 80345.3863018904. The cubic root of 6455381100 is about 1861.9754996520.

The spelling of 6455381100 in words is "six billion, four hundred fifty-five million, three hundred eighty-one thousand, one hundred".