645324369712992 has 144 divisors (see below), whose sum is σ = 1894473591349248. Its totient is φ = 208154391909120.

The previous prime is 645324369712973. The next prime is 645324369713039. The reversal of 645324369712992 is 299217963423546.

645324369712992 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 2 + 436 + 97 + 12 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 645324369712992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123713343 + ... + 128824065.

It is an arithmetic number, because the mean of its divisors is an integer number (13156066606592).

Almost surely, 2^{645324369712992} is an apocalyptic number.

645324369712992 is a gapful number since it is divisible by the number (62) 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 645324369712992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947236795674624).

645324369712992 is an abundant number, since it is smaller than the sum of its proper divisors (1249149221636256).

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

645324369712992 is a wasteful number, since it uses less digits than its factorization.

645324369712992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124913 (or 5124902 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 645324369712992 in words is "six hundred forty-five trillion, three hundred twenty-four billion, three hundred sixty-nine million, seven hundred twelve thousand, nine hundred ninety-two".