63728640 has 176 divisors, whose sum is σ = 226971360. Its totient is φ = 16957440.

The previous prime is 63728629. The next prime is 63728659. The reversal of 63728640 is 4682736.

63728640 is a `hidden beast` number, since 6 + 3 + 7 + 2 + 8 + 640 = 666.

It is a super-2 number, since 2×63728640² = 8122679112499200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 63728595 and 63728604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138010 + ... + 138470.

It is an arithmetic number, because the mean of its divisors is an integer number (1289610).

Almost surely, 2^63728640 is an apocalyptic number.

63728640 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 63728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113485680).

63728640 is an abundant number, since it is smaller than the sum of its proper divisors (163242720).

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

63728640 is a wasteful number, since it uses less digits than its factorization.

63728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 63728640 is about 7983.0219841862. The cubic root of 63728640 is about 399.4338657748.

The spelling of 63728640 in words is "sixty-three million, seven hundred twenty-eight thousand, six hundred forty".