645714305280 has 1152 divisors, whose sum is σ = 2593924300800. Its totient is φ = 150751641600.

The previous prime is 645714305251. The next prime is 645714305311. The reversal of 645714305280 is 82503417546.

645714305280 is a `hidden beast` number, since 6 + 4 + 57 + 14 + 305 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1268593666 + ... + 1268594174.

It is an arithmetic number, because the mean of its divisors is an integer number (2251670400).

Almost surely, 2^645714305280 is an apocalyptic number.

645714305280 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 645714305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296962150400).

645714305280 is an abundant number, since it is smaller than the sum of its proper divisors (1948209995520).

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

645714305280 is a wasteful number, since it uses less digits than its factorization.

645714305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 645714305280 in words is "six hundred forty-five billion, seven hundred fourteen million, three hundred five thousand, two hundred eighty".