463907489760 has 1536 divisors, whose sum is σ = 1972952432640. Its totient is φ = 101583175680.

The previous prime is 463907489729. The next prime is 463907489783. The reversal of 463907489760 is 67984709364.

463907489760 is a `hidden beast` number, since 4 + 6 + 3 + 90 + 7 + 489 + 7 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3652814817 + ... + 3652814943.

It is an arithmetic number, because the mean of its divisors is an integer number (1284474240).

Almost surely, 2^463907489760 is an apocalyptic number.

463907489760 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 463907489760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986476216320).

463907489760 is an abundant number, since it is smaller than the sum of its proper divisors (1509044942880).

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

463907489760 is a wasteful number, since it uses less digits than its factorization.

463907489760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 463907489760 in words is "four hundred sixty-three billion, nine hundred seven million, four hundred eighty-nine thousand, seven hundred sixty".