63205525440 has 168 divisors, whose sum is σ = 218020044528. Its totient is φ = 16806789120.

The previous prime is 63205525403. The next prime is 63205525451. The reversal of 63205525440 is 4452550236.

63205525440 is a `hidden beast` number, since 6 + 3 + 205 + 5 + 2 + 5 + 440 = 666.

It is a super-2 number, since 2×63205525440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63205525395 and 63205525404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985555 + ... + 1047725.

Almost surely, 2^63205525440 is an apocalyptic number.

63205525440 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 63205525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109010022264).

63205525440 is an abundant number, since it is smaller than the sum of its proper divisors (154814519088).

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

63205525440 is a wasteful number, since it uses less digits than its factorization.

63205525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62547 (or 62534 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 63205525440 in words is "sixty-three billion, two hundred five million, five hundred twenty-five thousand, four hundred forty".