63361440 has 120 divisors (see below), whose sum is σ = 223658820. Its totient is φ = 16892928.

The previous prime is 63361439. The next prime is 63361471. The reversal of 63361440 is 4416336.

63361440 is a `hidden beast` number, since 6 + 3 + 3 + 614 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 63504 = 7956^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10516 + ... + 15404.

Almost surely, 2^63361440 is an apocalyptic number.

63361440 is a gapful number since it is divisible by the number (60) 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 63361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111829410).

63361440 is an abundant number, since it is smaller than the sum of its proper divisors (160297380).

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

63361440 is a wasteful number, since it uses less digits than its factorization.

63361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 63361440 is about 7959.9899497424. The cubic root of 63361440 is about 398.6652175103.

Adding to 63361440 its reverse (4416336), we get a palindrome (67777776).

It can be divided in two parts, 6336 and 1440, that added together give a 5-th power (7776 = 6⁵).

The spelling of 63361440 in words is "sixty-three million, three hundred sixty-one thousand, four hundred forty".