8245890374400 has 1728 divisors, whose sum is σ = 36503503626240. Its totient is φ = 1780608614400.

The previous prime is 8245890374327. The next prime is 8245890374417. The reversal of 8245890374400 is 44730985428.

8245890374400 is a `hidden beast` number, since 8 + 24 + 589 + 0 + 37 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 2309124615 + ... + 2309128185.

Almost surely, 2^{8245890374400} is an apocalyptic number.

8245890374400 is a gapful number since it is divisible by the number (80) 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 8245890374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251751813120).

8245890374400 is an abundant number, since it is smaller than the sum of its proper divisors (28257613251840).

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

8245890374400 is a wasteful number, since it uses less digits than its factorization.

8245890374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 8245890374400 in words is "eight trillion, two hundred forty-five billion, eight hundred ninety million, three hundred seventy-four thousand, four hundred".