463672400640 has 288 divisors, whose sum is σ = 1560363436800. Its totient is φ = 117020344320.

The previous prime is 463672400629. The next prime is 463672400699. The reversal of 463672400640 is 46004276364.

It is a junction number, because it is equal to n+sod(n) for n = 463672400592 and 463672400601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89665255 + ... + 89670425.

It is an arithmetic number, because the mean of its divisors is an integer number (5417928600).

Almost surely, 2^463672400640 is an apocalyptic number.

463672400640 is a gapful number since it is divisible by the number (40) 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 463672400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780181718400).

463672400640 is an abundant number, since it is smaller than the sum of its proper divisors (1096691036160).

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

463672400640 is a wasteful number, since it uses less digits than its factorization.

463672400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 463672400640 in words is "four hundred sixty-three billion, six hundred seventy-two million, four hundred thousand, six hundred forty".