645049785600 has 2160 divisors, whose sum is σ = 2782216926720. Its totient is φ = 145981440000.

The previous prime is 645049785577. The next prime is 645049785613. The reversal of 645049785600 is 6587940546.

645049785600 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 4 + 9 + 78 + 560 + 0 = 666.

645049785600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 7247750356 + ... + 7247750444.

It is an arithmetic number, because the mean of its divisors is an integer number (1288063392).

Almost surely, 2^645049785600 is an apocalyptic number.

645049785600 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 645049785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391108463360).

645049785600 is an abundant number, since it is smaller than the sum of its proper divisors (2137167141120).

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

645049785600 is a wasteful number, since it uses less digits than its factorization.

645049785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 645049785600 in words is "six hundred forty-five billion, forty-nine million, seven hundred eighty-five thousand, six hundred".