645519114240 has 1344 divisors, whose sum is σ = 2841119511552. Its totient is φ = 120795955200.

The previous prime is 645519114203. The next prime is 645519114257. The reversal of 645519114240 is 42411915546.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 645519114192 and 645519114201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15744368620 + ... + 15744368660.

It is an arithmetic number, because the mean of its divisors is an integer number (2113928208).

Almost surely, 2^645519114240 is an apocalyptic number.

645519114240 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 645519114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420559755776).

645519114240 is an abundant number, since it is smaller than the sum of its proper divisors (2195600397312).

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

645519114240 is an equidigital number, since it uses as much as digits as its factorization.

645519114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 645519114240 in words is "six hundred forty-five billion, five hundred nineteen million, one hundred fourteen thousand, two hundred forty".