463846256640 has 1248 divisors, whose sum is σ = 1874066725440. Its totient is φ = 105092481024.

The previous prime is 463846256609. The next prime is 463846256641. The reversal of 463846256640 is 46652648364.

463846256640 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 4 + 625 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is not an unprimeable number, because it can be changed into a prime (463846256641) 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, 2403348384 + ... + 2403348576.

It is an arithmetic number, because the mean of its divisors is an integer number (1501656030).

Almost surely, 2^463846256640 is an apocalyptic number.

463846256640 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 463846256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937033362720).

463846256640 is an abundant number, since it is smaller than the sum of its proper divisors (1410220468800).

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

463846256640 is a wasteful number, since it uses less digits than its factorization.

463846256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 463846256640 in words is "four hundred sixty-three billion, eight hundred forty-six million, two hundred fifty-six thousand, six hundred forty".