63503000628480 has 1440 divisors, whose sum is σ = 263275931052288. Its totient is φ = 14315470848000.

The previous prime is 63503000628461. The next prime is 63503000628491. The reversal of 63503000628480 is 8482600030536.

It is a happy number.

63503000628480 is a `hidden beast` number, since 6 + 3 + 503 + 0 + 0 + 0 + 62 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×63503000628480² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20597793019 + ... + 20597796101.

Almost surely, 2^{63503000628480} is an apocalyptic number.

63503000628480 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 63503000628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131637965526144).

63503000628480 is an abundant number, since it is smaller than the sum of its proper divisors (199772930423808).

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

63503000628480 is a wasteful number, since it uses less digits than its factorization.

63503000628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 63503000628480 in words is "sixty-three trillion, five hundred three billion, six hundred twenty-eight thousand, four hundred eighty".