63984660480 has 1248 divisors, whose sum is σ = 264473104896. Its totient is φ = 14714929152.

The previous prime is 63984660407. The next prime is 63984660497. The reversal of 63984660480 is 8406648936.

63984660480 is a `hidden beast` number, since 63 + 9 + 8 + 46 + 60 + 480 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1488015339 + ... + 1488015381.

It is an arithmetic number, because the mean of its divisors is an integer number (211917552).

Almost surely, 2^63984660480 is an apocalyptic number.

63984660480 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 63984660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132236552448).

63984660480 is an abundant number, since it is smaller than the sum of its proper divisors (200488444416).

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

63984660480 is a wasteful number, since it uses less digits than its factorization.

63984660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 63984660480 in words is "sixty-three billion, nine hundred eighty-four million, six hundred sixty thousand, four hundred eighty".