63513747360 has 576 divisors, whose sum is σ = 256830013440. Its totient is φ = 13986846720.

The previous prime is 63513747359. The next prime is 63513747443. The reversal of 63513747360 is 6374731536.

It is a happy number.

63513747360 is a `hidden beast` number, since 6 + 3 + 513 + 7 + 4 + 73 + 60 = 666.

It is a super-2 number, since 2×63513747360² (a number of 22 digits) contains 22 as substring.

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

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, 137178489 + ... + 137178951.

It is an arithmetic number, because the mean of its divisors is an integer number (445885440).

Almost surely, 2^63513747360 is an apocalyptic number.

63513747360 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 63513747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128415006720).

63513747360 is an abundant number, since it is smaller than the sum of its proper divisors (193316266080).

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

63513747360 is a wasteful number, since it uses less digits than its factorization.

63513747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 63513747360 in words is "sixty-three billion, five hundred thirteen million, seven hundred forty-seven thousand, three hundred sixty".