645463987200 has 1584 divisors, whose sum is σ = 2601797918720. Its totient is φ = 158018273280.

The previous prime is 645463987169. The next prime is 645463987211. The reversal of 645463987200 is 2789364546.

645463987200 is a `hidden beast` number, since 6 + 4 + 5 + 46 + 398 + 7 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5082393537 + ... + 5082393663.

Almost surely, 2^645463987200 is an apocalyptic number.

645463987200 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 645463987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300898959360).

645463987200 is an abundant number, since it is smaller than the sum of its proper divisors (1956333931520).

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

645463987200 is a wasteful number, since it uses less digits than its factorization.

645463987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 645463987200 in words is "six hundred forty-five billion, four hundred sixty-three million, nine hundred eighty-seven thousand, two hundred".