646300159142400 has 6720 divisors, whose sum is σ = 3028365520773120. Its totient is φ = 133315824844800.

The previous prime is 646300159142311. The next prime is 646300159142401. The reversal of 646300159142400 is 4241951003646.

646300159142400 is a `hidden beast` number, since 6 + 4 + 6 + 30 + 0 + 1 + 591 + 4 + 24 + 0 + 0 = 666.

646300159142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is not an unprimeable number, because it can be changed into a prime (646300159142401) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 4116561523122 + ... + 4116561523278.

Almost surely, 2^{646300159142400} is an apocalyptic number.

646300159142400 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 646300159142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514182760386560).

646300159142400 is an abundant number, since it is smaller than the sum of its proper divisors (2382065361630720).

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

646300159142400 is a wasteful number, since it uses less digits than its factorization.

646300159142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 646300159142400 in words is "six hundred forty-six trillion, three hundred billion, one hundred fifty-nine million, one hundred forty-two thousand, four hundred".