463140778752 has 180 divisors, whose sum is σ = 1391552162616. Its totient is φ = 153200885760.

The previous prime is 463140778739. The next prime is 463140778753. The reversal of 463140778752 is 257877041364.

463140778752 is a `hidden beast` number, since 463 + 1 + 40 + 7 + 78 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (463140778753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2631168 + ... + 2801664.

Almost surely, 2^463140778752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463140778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695776081308).

463140778752 is an abundant number, since it is smaller than the sum of its proper divisors (928411383864).

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

463140778752 is a wasteful number, since it uses less digits than its factorization.

463140778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170656 (or 170633 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 463140778752 in words is "four hundred sixty-three billion, one hundred forty million, seven hundred seventy-eight thousand, seven hundred fifty-two".