63778752 has 98 divisors (see below), whose sum is σ = 189893448. Its totient is φ = 21244032.

The previous prime is 63778717. The next prime is 63778753. The reversal of 63778752 is 25787736.

63778752 is a `hidden beast` number, since 637 + 7 + 8 + 7 + 5 + 2 = 666.

Its product of digits (493920) is a multiple of the sum of its prime divisors (1372).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 63778698 and 63778707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63778753) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45973 + ... + 47339.

Almost surely, 2^63778752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94946724).

63778752 is an abundant number, since it is smaller than the sum of its proper divisors (126114696).

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

63778752 is an equidigital number, since it uses as much as digits as its factorization.

63778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1372 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 63778752 is about 7986.1600284492. The cubic root of 63778752 is about 399.5385344954.

It can be divided in two parts, 6377 and 8752, that added together give a square (15129 = 123²).

The spelling of 63778752 in words is "sixty-three million, seven hundred seventy-eight thousand, seven hundred fifty-two".