65341860003840 has 1920 divisors, whose sum is σ = 261463925237760. Its totient is φ = 13600416595968.

The previous prime is 65341860003839. The next prime is 65341860003851. The reversal of 65341860003840 is 4830006814356.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×65341860003840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 65341860003840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117310340842 + ... + 117310341398.

It is an arithmetic number, because the mean of its divisors is an integer number (136179127728).

Almost surely, 2^{65341860003840} is an apocalyptic number.

65341860003840 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 65341860003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130731962618880).

65341860003840 is an abundant number, since it is smaller than the sum of its proper divisors (196122065233920).

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

65341860003840 is a wasteful number, since it uses less digits than its factorization.

65341860003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 65341860003840 in words is "sixty-five trillion, three hundred forty-one billion, eight hundred sixty million, three thousand, eight hundred forty".