65638211760 has 960 divisors, whose sum is σ = 267511449600. Its totient is φ = 14786703360.

The previous prime is 65638211747. The next prime is 65638211773. The reversal of 65638211760 is 6711283656.

65638211760 is a `hidden beast` number, since 6 + 5 + 638 + 2 + 1 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65638211747) and next prime (65638211773).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 830863401 + ... + 830863479.

It is an arithmetic number, because the mean of its divisors is an integer number (278657760).

Almost surely, 2^65638211760 is an apocalyptic number.

65638211760 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 65638211760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133755724800).

65638211760 is an abundant number, since it is smaller than the sum of its proper divisors (201873237840).

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

65638211760 is a wasteful number, since it uses less digits than its factorization.

65638211760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 65638211760 in words is "sixty-five billion, six hundred thirty-eight million, two hundred eleven thousand, seven hundred sixty".