63513616320 has 1120 divisors, whose sum is σ = 285085633536. Its totient is φ = 13147453440.

The previous prime is 63513616303. The next prime is 63513616357. The reversal of 63513616320 is 2361631536.

63513616320 is a `hidden beast` number, since 6 + 3 + 5 + 1 + 3 + 616 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

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, 241496509 + ... + 241496771.

Almost surely, 2^63513616320 is an apocalyptic number.

63513616320 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 63513616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142542816768).

63513616320 is an abundant number, since it is smaller than the sum of its proper divisors (221572017216).

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

63513616320 is a wasteful number, since it uses less digits than its factorization.

63513616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 63513616320 in words is "sixty-three billion, five hundred thirteen million, six hundred sixteen thousand, three hundred twenty".