245373624000 has 672 divisors, whose sum is σ = 919128764736. Its totient is φ = 64795852800.

The previous prime is 245373623993. The next prime is 245373624019. The reversal of 245373624000 is 426373542.

245373624000 is a `hidden beast` number, since 2 + 45 + 373 + 6 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219671442 + ... + 219672558.

It is an arithmetic number, because the mean of its divisors is an integer number (1367751138).

Almost surely, 2^245373624000 is an apocalyptic number.

245373624000 is a gapful number since it is divisible by the number (20) 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 245373624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459564382368).

245373624000 is an abundant number, since it is smaller than the sum of its proper divisors (673755140736).

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

245373624000 is a wasteful number, since it uses less digits than its factorization.

245373624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 245373624000 its reverse (426373542), we get a palindrome (245799997542).

The spelling of 245373624000 in words is "two hundred forty-five billion, three hundred seventy-three million, six hundred twenty-four thousand".