8195937935328 has 768 divisors, whose sum is σ = 29399202201600. Its totient is φ = 2187295488000.

The previous prime is 8195937935309. The next prime is 8195937935333. The reversal of 8195937935328 is 8235397395918.

8195937935328 is a `hidden beast` number, since 8 + 1 + 9 + 59 + 37 + 9 + 3 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271922883 + ... + 271953021.

It is an arithmetic number, because the mean of its divisors is an integer number (38280211200).

Almost surely, 2^{8195937935328} is an apocalyptic number.

8195937935328 is a gapful number since it is divisible by the number (88) 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 8195937935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699601100800).

8195937935328 is an abundant number, since it is smaller than the sum of its proper divisors (21203264266272).

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

8195937935328 is a wasteful number, since it uses less digits than its factorization.

8195937935328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30284 (or 30270 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 72.

The spelling of 8195937935328 in words is "eight trillion, one hundred ninety-five billion, nine hundred thirty-seven million, nine hundred thirty-five thousand, three hundred twenty-eight".