65348881920 has 960 divisors, whose sum is σ = 275257382400. Its totient is φ = 14547714048.

The previous prime is 65348881901. The next prime is 65348881973. The reversal of 65348881920 is 2918884356.

65348881920 is a `hidden beast` number, since 6 + 534 + 8 + 8 + 81 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187245906 + ... + 187246254.

It is an arithmetic number, because the mean of its divisors is an integer number (286726440).

Almost surely, 2^65348881920 is an apocalyptic number.

65348881920 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 65348881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137628691200).

65348881920 is an abundant number, since it is smaller than the sum of its proper divisors (209908500480).

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

65348881920 is an equidigital number, since it uses as much as digits as its factorization.

65348881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 65348881920 in words is "sixty-five billion, three hundred forty-eight million, eight hundred eighty-one thousand, nine hundred twenty".