63740640 has 144 divisors (see below), whose sum is σ = 208483632. Its totient is φ = 16367616.

The previous prime is 63740629. The next prime is 63740653. The reversal of 63740640 is 4604736.

63740640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 63740598 and 63740607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657072 + ... + 657168.

It is an arithmetic number, because the mean of its divisors is an integer number (1447803).

Almost surely, 2^63740640 is an apocalyptic number.

63740640 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 63740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241816).

63740640 is an abundant number, since it is smaller than the sum of its proper divisors (144742992).

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

63740640 is a wasteful number, since it uses less digits than its factorization.

63740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 63740640 is about 7983.7735438826. The cubic root of 63740640 is about 399.4589351186.

The spelling of 63740640 in words is "sixty-three million, seven hundred forty thousand, six hundred forty".