63779132160 has 576 divisors, whose sum is σ = 237823488000. Its totient is φ = 16164126720.

The previous prime is 63779132147. The next prime is 63779132201. The reversal of 63779132160 is 6123197736.

63779132160 is a `hidden beast` number, since 6 + 377 + 91 + 32 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63209736 + ... + 63210744.

It is an arithmetic number, because the mean of its divisors is an integer number (412888000).

Almost surely, 2^63779132160 is an apocalyptic number.

63779132160 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 63779132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118911744000).

63779132160 is an abundant number, since it is smaller than the sum of its proper divisors (174044355840).

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

63779132160 is a wasteful number, since it uses less digits than its factorization.

63779132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 63779132160 in words is "sixty-three billion, seven hundred seventy-nine million, one hundred thirty-two thousand, one hundred sixty".