645615360 has 360 divisors, whose sum is σ = 2493025920. Its totient is φ = 158588928.

The previous prime is 645615337. The next prime is 645615367. The reversal of 645615360 is 63516546.

645615360 is a `hidden beast` number, since 6 + 4 + 5 + 615 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645615367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347601 + ... + 1348079.

It is an arithmetic number, because the mean of its divisors is an integer number (6925072).

Almost surely, 2^645615360 is an apocalyptic number.

645615360 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 645615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246512960).

645615360 is an abundant number, since it is smaller than the sum of its proper divisors (1847410560).

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

645615360 is a wasteful number, since it uses less digits than its factorization.

645615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 645615360 is about 25408.9621984055. The cubic root of 645615360 is about 864.2869417307.

The spelling of 645615360 in words is "six hundred forty-five million, six hundred fifteen thousand, three hundred sixty".