65630402640 has 720 divisors, whose sum is σ = 260807646528. Its totient is φ = 14616576000.

The previous prime is 65630402609. The next prime is 65630402659. The reversal of 65630402640 is 4620403656.

65630402640 is a `hidden beast` number, since 6 + 5 + 6 + 3 + 0 + 4 + 0 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 65630402595 and 65630402604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 500995375 + ... + 500995505.

Almost surely, 2^65630402640 is an apocalyptic number.

65630402640 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 65630402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130403823264).

65630402640 is an abundant number, since it is smaller than the sum of its proper divisors (195177243888).

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

65630402640 is a wasteful number, since it uses less digits than its factorization.

65630402640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 65630402640 in words is "sixty-five billion, six hundred thirty million, four hundred two thousand, six hundred forty".