845628392700 has 1080 divisors, whose sum is σ = 3463466344800. Its totient is φ = 178319232000.

The previous prime is 845628392689. The next prime is 845628392701. The reversal of 845628392700 is 7293826548.

845628392700 is a `hidden beast` number, since 8 + 4 + 5 + 628 + 3 + 9 + 2 + 7 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845628392701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 469531800 + ... + 469533600.

Almost surely, 2^845628392700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845628392700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731733172400).

845628392700 is an abundant number, since it is smaller than the sum of its proper divisors (2617837952100).

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

845628392700 is a wasteful number, since it uses less digits than its factorization.

845628392700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 845628392700 in words is "eight hundred forty-five billion, six hundred twenty-eight million, three hundred ninety-two thousand, seven hundred".