63332640 has 288 divisors, whose sum is σ = 253483776. Its totient is φ = 14100480.

The previous prime is 63332627. The next prime is 63332653. The reversal of 63332640 is 4623336.

63332640 is a `hidden beast` number, since 633 + 3 + 26 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63332627) and next prime (63332653).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×63332640² = 8022046578739200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614829 + ... + 614931.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 2^63332640 is an apocalyptic number.

63332640 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 63332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

63332640 is an abundant number, since it is smaller than the sum of its proper divisors (190151136).

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

63332640 is a wasteful number, since it uses less digits than its factorization.

63332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 63332640 is about 7958.1806966165. The cubic root of 63332640 is about 398.6048059083.

Adding to 63332640 its reverse (4623336), we get a palindrome (67955976).

The spelling of 63332640 in words is "sixty-three million, three hundred thirty-two thousand, six hundred forty".