63142464 has 112 divisors (see below), whose sum is σ = 208336896. Its totient is φ = 16396800.

The previous prime is 63142463. The next prime is 63142489. The reversal of 63142464 is 46424136.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (63142463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12649 + ... + 16919.

Almost surely, 2^63142464 is an apocalyptic number.

63142464 is a gapful number since it is divisible by the number (64) 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 63142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104168448).

63142464 is an abundant number, since it is smaller than the sum of its proper divisors (145194432).

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

63142464 is a wasteful number, since it uses less digits than its factorization.

63142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4294 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 63142464 is about 7946.2232538483. The cubic root of 63142464 is about 398.2054274808.

It can be divided in two parts, 6314 and 2464, that added together give a palindrome (8778).

The spelling of 63142464 in words is "sixty-three million, one hundred forty-two thousand, four hundred sixty-four".