6463527840000 has 4320 divisors, whose sum is σ = 32131205922816. Its totient is φ = 1254113280000.

The previous prime is 6463527839969. The next prime is 6463527840019. The reversal of 6463527840000 is 487253646.

6463527840000 is a `hidden beast` number, since 6 + 4 + 635 + 2 + 7 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-3 number, since 3×6463527840000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 50893919937 + ... + 50893920063.

Almost surely, 2^{6463527840000} is an apocalyptic number.

6463527840000 is a gapful number since it is divisible by the number (60) 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 6463527840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065602961408).

6463527840000 is an abundant number, since it is smaller than the sum of its proper divisors (25667678082816).

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

6463527840000 is a wasteful number, since it uses less digits than its factorization.

6463527840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 6463527840000 in words is "six trillion, four hundred sixty-three billion, five hundred twenty-seven million, eight hundred forty thousand".