644472511119360 has 5760 divisors, whose sum is σ = 3029929112125440. Its totient is φ = 128650523443200.

The previous prime is 644472511119331. The next prime is 644472511119361. The reversal of 644472511119360 is 63911115274446.

644472511119360 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 7 + 2 + 511 + 119 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 644472511119297 and 644472511119306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644472511119361) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4704178913212 + ... + 4704178913348.

It is an arithmetic number, because the mean of its divisors is an integer number (526029359744).

Almost surely, 2^{644472511119360} is an apocalyptic number.

644472511119360 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 644472511119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514964556062720).

644472511119360 is an abundant number, since it is smaller than the sum of its proper divisors (2385456601006080).

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

644472511119360 is an equidigital number, since it uses as much as digits as its factorization.

644472511119360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 644472511119360 in words is "six hundred forty-four trillion, four hundred seventy-two billion, five hundred eleven million, one hundred nineteen thousand, three hundred sixty".