65195105664 has 384 divisors, whose sum is σ = 195536056320. Its totient is φ = 19221995520.

The previous prime is 65195105663. The next prime is 65195105681. The reversal of 65195105664 is 46650159156.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65195105663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170222017 + ... + 170222399.

It is an arithmetic number, because the mean of its divisors is an integer number (509208480).

Almost surely, 2^65195105664 is an apocalyptic number.

65195105664 is a gapful number since it is divisible by the number (64) 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 65195105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97768028160).

65195105664 is an abundant number, since it is smaller than the sum of its proper divisors (130340950656).

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

65195105664 is a wasteful number, since it uses less digits than its factorization.

65195105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 65195105664 in words is "sixty-five billion, one hundred ninety-five million, one hundred five thousand, six hundred sixty-four".