63251746560 has 360 divisors, whose sum is σ = 228102968016. Its totient is φ = 16734781440.

The previous prime is 63251746553. The next prime is 63251746631. The reversal of 63251746560 is 6564715236.

63251746560 is a `hidden beast` number, since 6 + 32 + 5 + 17 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 13579752 + ... + 13584408.

Almost surely, 2^63251746560 is an apocalyptic number.

63251746560 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 63251746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114051484008).

63251746560 is an abundant number, since it is smaller than the sum of its proper divisors (164851221456).

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

63251746560 is a wasteful number, since it uses less digits than its factorization.

63251746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 63251746560 in words is "sixty-three billion, two hundred fifty-one million, seven hundred forty-six thousand, five hundred sixty".