63411768 has 128 divisors (see below), whose sum is σ = 213235200. Its totient is φ = 17044992.

The previous prime is 63411767. The next prime is 63411773. The reversal of 63411768 is 86711436.

63411768 is a `hidden beast` number, since 634 + 1 + 17 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63411767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24471 + ... + 26937.

It is an arithmetic number, because the mean of its divisors is an integer number (1665900).

Almost surely, 2^63411768 is an apocalyptic number.

63411768 is a gapful number since it is divisible by the number (68) 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 63411768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106617600).

63411768 is an abundant number, since it is smaller than the sum of its proper divisors (149823432).

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

63411768 is a wasteful number, since it uses less digits than its factorization.

63411768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2496 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 63411768 is about 7963.1506327584. The cubic root of 63411768 is about 398.7707428536.

The spelling of 63411768 in words is "sixty-three million, four hundred eleven thousand, seven hundred sixty-eight".