463926132327840 has 1152 divisors, whose sum is σ = 1904305279242240. Its totient is φ = 92700717318144.

The previous prime is 463926132327829. The next prime is 463926132327863. The reversal of 463926132327840 is 48723231629364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46360156117 + ... + 46360166123.

It is an arithmetic number, because the mean of its divisors is an integer number (1653042777120).

Almost surely, 2^{463926132327840} is an apocalyptic number.

463926132327840 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 463926132327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952152639621120).

463926132327840 is an abundant number, since it is smaller than the sum of its proper divisors (1440379146914400).

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

463926132327840 is a wasteful number, since it uses less digits than its factorization.

463926132327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14374 (or 14353 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 60.

It can be divided in two parts, 4639261 and 32327840, that added together give a triangular number (36967101 = T₈₅₉₈).

The spelling of 463926132327840 in words is "four hundred sixty-three trillion, nine hundred twenty-six billion, one hundred thirty-two million, three hundred twenty-seven thousand, eight hundred forty".