8195537433600 has 396 divisors, whose sum is σ = 32011538526240. Its totient is φ = 1986796339200.

The previous prime is 8195537433571. The next prime is 8195537433737. The reversal of 8195537433600 is 63347355918.

8195537433600 is a `hidden beast` number, since 8 + 1 + 9 + 5 + 537 + 43 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 917541 + ... + 4151259.

Almost surely, 2^{8195537433600} is an apocalyptic number.

8195537433600 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 8195537433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005769263120).

8195537433600 is an abundant number, since it is smaller than the sum of its proper divisors (23816001092640).

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

8195537433600 is a wasteful number, since it uses less digits than its factorization.

8195537433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233766 (or 3233740 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 8195537433600 in words is "eight trillion, one hundred ninety-five billion, five hundred thirty-seven million, four hundred thirty-three thousand, six hundred".