6495777576960 has 768 divisors, whose sum is σ = 25362467020800. Its totient is φ = 1387266048000.

The previous prime is 6495777576923. The next prime is 6495777576961. The reversal of 6495777576960 is 696757775946.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6495777576961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193304160 + ... + 193337760.

It is an arithmetic number, because the mean of its divisors is an integer number (33024045600).

Almost surely, 2^{6495777576960} is an apocalyptic number.

6495777576960 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 6495777576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12681233510400).

6495777576960 is an abundant number, since it is smaller than the sum of its proper divisors (18866689443840).

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

6495777576960 is a wasteful number, since it uses less digits than its factorization.

6495777576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33698 (or 33678 counting only the distinct ones).

The product of its (nonzero) digits is 4200789600, while the sum is 78.

The spelling of 6495777576960 in words is "six trillion, four hundred ninety-five billion, seven hundred seventy-seven million, five hundred seventy-six thousand, nine hundred sixty".