6449819400 has 480 divisors, whose sum is σ = 23528672640. Its totient is φ = 1635863040.

The previous prime is 6449819371. The next prime is 6449819419. The reversal of 6449819400 is 49189446.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32740102 + ... + 32740298.

It is an arithmetic number, because the mean of its divisors is an integer number (49018068).

Almost surely, 2^6449819400 is an apocalyptic number.

6449819400 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 6449819400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764336320).

6449819400 is an abundant number, since it is smaller than the sum of its proper divisors (17078853240).

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

6449819400 is a wasteful number, since it uses less digits than its factorization.

6449819400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6449819400 is about 80310.7676466861. The cubic root of 6449819400 is about 1861.4406112938.

The spelling of 6449819400 in words is "six billion, four hundred forty-nine million, eight hundred nineteen thousand, four hundred".