645504933300480 has 6912 divisors, whose sum is σ = 2922284600524800. Its totient is φ = 133905855283200.

The previous prime is 645504933300407. The next prime is 645504933300527. The reversal of 645504933300480 is 84003339405546.

645504933300480 is a `hidden beast` number, since 6 + 4 + 5 + 504 + 93 + 3 + 3 + 0 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-4 number, since 4×645504933300480⁴ (a number of 60 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5082716010177 + ... + 5082716010303.

It is an arithmetic number, because the mean of its divisors is an integer number (422784230400).

Almost surely, 2^{645504933300480} is an apocalyptic number.

645504933300480 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 645504933300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461142300262400).

645504933300480 is an abundant number, since it is smaller than the sum of its proper divisors (2276779667224320).

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

645504933300480 is a wasteful number, since it uses less digits than its factorization.

645504933300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 645504933300480 in words is "six hundred forty-five trillion, five hundred four billion, nine hundred thirty-three million, three hundred thousand, four hundred eighty".