6734495193120 has 288 divisors, whose sum is σ = 23986187984304. Its totient is φ = 1719005184000.

The previous prime is 6734495193053. The next prime is 6734495193121. The reversal of 6734495193120 is 213915944376.

6734495193120 is a `hidden beast` number, since 6 + 7 + 3 + 449 + 5 + 193 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 936474256656 + 5798020936464 = 967716^2 + 2407908^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6734495193121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053020 + ... + 4205220.

Almost surely, 2^{6734495193120} is an apocalyptic number.

6734495193120 is a gapful number since it is divisible by the number (60) 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 6734495193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11993093992152).

6734495193120 is an abundant number, since it is smaller than the sum of its proper divisors (17251692791184).

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

6734495193120 is a wasteful number, since it uses less digits than its factorization.

6734495193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152316 (or 2152305 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 6734495193120 in words is "six trillion, seven hundred thirty-four billion, four hundred ninety-five million, one hundred ninety-three thousand, one hundred twenty".