63055661760 has 2016 divisors, whose sum is σ = 301021943040. Its totient is φ = 12415721472.

The previous prime is 63055661749. The next prime is 63055661831. The reversal of 63055661760 is 6716655036.

63055661760 is a `hidden beast` number, since 6 + 30 + 556 + 6 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 941129247 + ... + 941129313.

It is an arithmetic number, because the mean of its divisors is an integer number (149316440).

Almost surely, 2^63055661760 is an apocalyptic number.

63055661760 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 63055661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150510971520).

63055661760 is an abundant number, since it is smaller than the sum of its proper divisors (237966281280).

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

63055661760 is a wasteful number, since it uses less digits than its factorization.

63055661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 63055661760 in words is "sixty-three billion, fifty-five million, six hundred sixty-one thousand, seven hundred sixty".