65703713040 has 480 divisors, whose sum is σ = 266515441920. Its totient is φ = 14170484736.

The previous prime is 65703713029. The next prime is 65703713069. The reversal of 65703713040 is 4031730756.

65703713040 is a `hidden beast` number, since 6 + 570 + 37 + 13 + 0 + 40 = 666.

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 = 65703712986 and 65703713004.

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 95 ways as a sum of consecutive naturals, for example, 26524282 + ... + 26526758.

It is an arithmetic number, because the mean of its divisors is an integer number (555240504).

Almost surely, 2^65703713040 is an apocalyptic number.

65703713040 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 65703713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133257720960).

65703713040 is an abundant number, since it is smaller than the sum of its proper divisors (200811728880).

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

65703713040 is a wasteful number, since it uses less digits than its factorization.

65703713040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 65703713040 in words is "sixty-five billion, seven hundred three million, seven hundred thirteen thousand, forty".