6465861984960 has 1008 divisors, whose sum is σ = 26291357688960. Its totient is φ = 1454028226560.

The previous prime is 6465861984949. The next prime is 6465861984983. The reversal of 6465861984960 is 694891685646.

6465861984960 is a `hidden beast` number, since 6 + 46 + 5 + 8 + 6 + 1 + 98 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3757036900 + ... + 3757038620.

It is an arithmetic number, because the mean of its divisors is an integer number (26082696120).

Almost surely, 2^{6465861984960} is an apocalyptic number.

6465861984960 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 6465861984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145678844480).

6465861984960 is an abundant number, since it is smaller than the sum of its proper divisors (19825495704000).

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

6465861984960 is a wasteful number, since it uses less digits than its factorization.

6465861984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 6465861984960 in words is "six trillion, four hundred sixty-five billion, eight hundred sixty-one million, nine hundred eighty-four thousand, nine hundred sixty".