63479952 has 60 divisors (see below), whose sum is σ = 178274304. Its totient is φ = 21086400.

The previous prime is 63479951. The next prime is 63479953. The reversal of 63479952 is 25997436.

It is a happy number.

63479952 is a `hidden beast` number, since 634 + 7 + 9 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (63479951) and next prime (63479953).

It is a junction number, because it is equal to n+sod(n) for n = 63479898 and 63479907.

It is not an unprimeable number, because it can be changed into a prime (63479951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54577 + ... + 55727.

Almost surely, 2^63479952 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 63479952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89137152).

63479952 is an abundant number, since it is smaller than the sum of its proper divisors (114794352).

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

63479952 is a wasteful number, since it uses less digits than its factorization.

63479952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1539 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 63479952 is about 7967.4307025540. The cubic root of 63479952 is about 398.9136187775.

It can be divided in two parts, 63 and 479952, that multiplied together give a triangular number (30236976 = T₇₇₇₆).

The spelling of 63479952 in words is "sixty-three million, four hundred seventy-nine thousand, nine hundred fifty-two".