6448190400 has 126 divisors (see below), whose sum is σ = 22918442352. Its totient is φ = 1719513600.

The previous prime is 6448190387. The next prime is 6448190453. The reversal of 6448190400 is 40918446.

It is a happy number.

6448190400 is a `hidden beast` number, since 64 + 4 + 8 + 190 + 400 = 666.

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 17 ways as a sum of consecutive naturals, for example, 209496 + ... + 238295.

Almost surely, 2^6448190400 is an apocalyptic number.

6448190400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6448190400 is an abundant number, since it is smaller than the sum of its proper divisors (16470251952).

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

6448190400 is a wasteful number, since it uses less digits than its factorization.

6448190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447819 (or 447801 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6448190400 is about 80300.6251532328. The cubic root of 6448190400 is about 1861.2838863849.

It can be divided in two parts, 644 and 8190400, that added together give a square (8191044 = 2862²).

The spelling of 6448190400 in words is "six billion, four hundred forty-eight million, one hundred ninety thousand, four hundred".