463213010760 has 384 divisors, whose sum is σ = 1510897639680. Its totient is φ = 113387524096.

The previous prime is 463213010713. The next prime is 463213010881. The reversal of 463213010760 is 67010312364.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457268014 + ... + 457269026.

It is an arithmetic number, because the mean of its divisors is an integer number (3934629270).

Almost surely, 2^463213010760 is an apocalyptic number.

463213010760 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 463213010760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755448819840).

463213010760 is an abundant number, since it is smaller than the sum of its proper divisors (1047684628920).

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

463213010760 is a wasteful number, since it uses less digits than its factorization.

463213010760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 463213010760 in words is "four hundred sixty-three billion, two hundred thirteen million, ten thousand, seven hundred sixty".