6465653456640 has 1728 divisors, whose sum is σ = 26011296460800. Its totient is φ = 1361130946560.

The previous prime is 6465653456629. The next prime is 6465653456699. The reversal of 6465653456640 is 466543565646.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23858499705 + ... + 23858499975.

It is an arithmetic number, because the mean of its divisors is an integer number (15052833600).

Almost surely, 2^{6465653456640} is an apocalyptic number.

6465653456640 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 6465653456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005648230400).

6465653456640 is an abundant number, since it is smaller than the sum of its proper divisors (19545643004160).

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

6465653456640 is a wasteful number, since it uses less digits than its factorization.

6465653456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 60.

The spelling of 6465653456640 in words is "six trillion, four hundred sixty-five billion, six hundred fifty-three million, four hundred fifty-six thousand, six hundred forty".