463421257728 has 1536 divisors, whose sum is σ = 1711864627200. Its totient is φ = 108999475200.

The previous prime is 463421257723. The next prime is 463421257729. The reversal of 463421257728 is 827752124364.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×463421257728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463421257721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6527059933 + ... + 6527060003.

It is an arithmetic number, because the mean of its divisors is an integer number (1114495200).

Almost surely, 2^463421257728 is an apocalyptic number.

463421257728 is a gapful number since it is divisible by the number (48) 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 463421257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855932313600).

463421257728 is an abundant number, since it is smaller than the sum of its proper divisors (1248443369472).

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

463421257728 is a wasteful number, since it uses less digits than its factorization.

463421257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The spelling of 463421257728 in words is "four hundred sixty-three billion, four hundred twenty-one million, two hundred fifty-seven thousand, seven hundred twenty-eight".