6451670400 has 768 divisors, whose sum is σ = 26550681600. Its totient is φ = 1343692800.

The previous prime is 6451670399. The next prime is 6451670411. The reversal of 6451670400 is 40761546.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 39580719 + ... + 39580881.

It is an arithmetic number, because the mean of its divisors is an integer number (34571200).

Almost surely, 2^6451670400 is an apocalyptic number.

6451670400 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 6451670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275340800).

6451670400 is an abundant number, since it is smaller than the sum of its proper divisors (20099011200).

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

6451670400 is a wasteful number, since it uses less digits than its factorization.

6451670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6451670400 is about 80322.2908039854. The cubic root of 6451670400 is about 1861.6186626369.

The spelling of 6451670400 in words is "six billion, four hundred fifty-one million, six hundred seventy thousand, four hundred".