63987517440 has 1152 divisors, whose sum is σ = 282593525760. Its totient is φ = 13005619200.

The previous prime is 63987517423. The next prime is 63987517453. The reversal of 63987517440 is 4471578936.

63987517440 is a `hidden beast` number, since 6 + 3 + 9 + 87 + 517 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×63987517440³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503838657 + ... + 503838783.

It is an arithmetic number, because the mean of its divisors is an integer number (245306880).

Almost surely, 2^63987517440 is an apocalyptic number.

63987517440 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 63987517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141296762880).

63987517440 is an abundant number, since it is smaller than the sum of its proper divisors (218606008320).

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

63987517440 is a wasteful number, since it uses less digits than its factorization.

63987517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 63987517440 in words is "sixty-three billion, nine hundred eighty-seven million, five hundred seventeen thousand, four hundred forty".