63587783064960 has 2048 divisors, whose sum is σ = 286169241600000. Its totient is φ = 12961692057600.

The previous prime is 63587783064959. The next prime is 63587783065061. The reversal of 63587783064960 is 6946038778536.

63587783064960 is a `hidden beast` number, since 6 + 3 + 58 + 7 + 7 + 83 + 0 + 6 + 496 + 0 = 666.

It is a super-3 number, since 3×63587783064960³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15512996991 + ... + 15513001089.

It is an arithmetic number, because the mean of its divisors is an integer number (139731075000).

Almost surely, 2^{63587783064960} is an apocalyptic number.

63587783064960 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 63587783064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143084620800000).

63587783064960 is an abundant number, since it is smaller than the sum of its proper divisors (222581458535040).

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

63587783064960 is a wasteful number, since it uses less digits than its factorization.

63587783064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 63587783064960 in words is "sixty-three trillion, five hundred eighty-seven billion, seven hundred eighty-three million, sixty-four thousand, nine hundred sixty".