63577378656 has 192 divisors, whose sum is σ = 212939193600. Its totient is φ = 18251827200.

The previous prime is 63577378643. The next prime is 63577378703. The reversal of 63577378656 is 65687377536.

63577378656 is a `hidden beast` number, since 6 + 3 + 577 + 3 + 7 + 8 + 6 + 56 = 666.

63577378656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63577378593 and 63577378602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4536 + ... + 356616.

It is an arithmetic number, because the mean of its divisors is an integer number (1109058300).

Almost surely, 2^63577378656 is an apocalyptic number.

63577378656 is a gapful number since it is divisible by the number (66) 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 63577378656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106469596800).

63577378656 is an abundant number, since it is smaller than the sum of its proper divisors (149361814944).

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

63577378656 is a wasteful number, since it uses less digits than its factorization.

63577378656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352130 (or 352116 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 63577378656 in words is "sixty-three billion, five hundred seventy-seven million, three hundred seventy-eight thousand, six hundred fifty-six".