65612021760 has 480 divisors, whose sum is σ = 238169131200. Its totient is φ = 17326669824.

The previous prime is 65612021743. The next prime is 65612021767. The reversal of 65612021760 is 6712021656.

It is a happy number.

65612021760 is a `hidden beast` number, since 6 + 561 + 2 + 0 + 21 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65612021767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637009869 + ... + 637009971.

It is an arithmetic number, because the mean of its divisors is an integer number (496185690).

Almost surely, 2^65612021760 is an apocalyptic number.

65612021760 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 65612021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119084565600).

65612021760 is an abundant number, since it is smaller than the sum of its proper divisors (172557109440).

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

65612021760 is an frugal number, since it uses more digits than its factorization.

65612021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 65612021760 in words is "sixty-five billion, six hundred twelve million, twenty-one thousand, seven hundred sixty".