463864756320 has 576 divisors, whose sum is σ = 1891535405760. Its totient is φ = 105861095424.

The previous prime is 463864756307. The next prime is 463864756321. The reversal of 463864756320 is 23657468364.

463864756320 is a `hidden beast` number, since 4 + 6 + 38 + 6 + 47 + 563 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463864756321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181408482 + ... + 181411038.

It is an arithmetic number, because the mean of its divisors is an integer number (3283915635).

Almost surely, 2^463864756320 is an apocalyptic number.

463864756320 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 463864756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945767702880).

463864756320 is an abundant number, since it is smaller than the sum of its proper divisors (1427670649440).

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

463864756320 is a wasteful number, since it uses less digits than its factorization.

463864756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 463864756320 in words is "four hundred sixty-three billion, eight hundred sixty-four million, seven hundred fifty-six thousand, three hundred twenty".