645508080000 has 960 divisors, whose sum is σ = 2669709419520. Its totient is φ = 146603520000.

The previous prime is 645508079971. The next prime is 645508080023. The reversal of 645508080000 is 80805546.

It is a happy number.

645508080000 is a `hidden beast` number, since 645 + 5 + 0 + 8 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1063439697 + ... + 1063440303.

It is an arithmetic number, because the mean of its divisors is an integer number (2780947312).

Almost surely, 2^645508080000 is an apocalyptic number.

645508080000 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 645508080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334854709760).

645508080000 is an abundant number, since it is smaller than the sum of its proper divisors (2024201339520).

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

645508080000 is a wasteful number, since it uses less digits than its factorization.

645508080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 645508080000 its reverse (80805546), we get a palindrome (645588885546).

The spelling of 645508080000 in words is "six hundred forty-five billion, five hundred eight million, eighty thousand".