8197862400 has 1584 divisors, whose sum is σ = 39913945344. Its totient is φ = 1557135360.

The previous prime is 8197862389. The next prime is 8197862443. The reversal of 8197862400 is 42687918.

8197862400 is a `hidden beast` number, since 8 + 19 + 7 + 8 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 356428789 + ... + 356428811.

Almost surely, 2^8197862400 is an apocalyptic number.

8197862400 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 8197862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956972672).

8197862400 is an abundant number, since it is smaller than the sum of its proper divisors (31716082944).

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

8197862400 is a wasteful number, since it uses less digits than its factorization.

8197862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8197862400 is about 90542.0476905620. The cubic root of 8197862400 is about 2016.3544350373.

The spelling of 8197862400 in words is "eight billion, one hundred ninety-seven million, eight hundred sixty-two thousand, four hundred".