463520268288000 has 4536 divisors, whose sum is σ = 2202163873391664. Its totient is φ = 96315899904000.

The previous prime is 463520268287987. The next prime is 463520268288001. The reversal of 463520268288000 is 882862025364.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 8! ⋅ 4!.

463520268288000 is a `hidden beast` number, since 4 + 6 + 352 + 0 + 2 + 6 + 8 + 288 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×463520268288000² (a number of 30 digits) contains 22 as substring.

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 (463520268288001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 42138206207995 + ... + 42138206208005.

Almost surely, 2^{463520268288000} is an apocalyptic number.

463520268288000 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 463520268288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101081936695832).

463520268288000 is an abundant number, since it is smaller than the sum of its proper divisors (1738643605103664).

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

463520268288000 is an frugal number, since it uses more digits than its factorization.

463520268288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 463520268288000 in words is "four hundred sixty-three trillion, five hundred twenty billion, two hundred sixty-eight million, two hundred eighty-eight thousand".