6073141536 has 768 divisors, whose sum is σ = 23804928000. Its totient is φ = 1508855040.

The previous prime is 6073141499. The next prime is 6073141549. The reversal of 6073141536 is 6351413706.

6073141536 is a `hidden beast` number, since 607 + 3 + 1 + 4 + 15 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6073141536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264049621 + ... + 264049643.

It is an arithmetic number, because the mean of its divisors is an integer number (30996000).

Almost surely, 2^6073141536 is an apocalyptic number.

6073141536 is a gapful number since it is divisible by the number (66) 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 6073141536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902464000).

6073141536 is an abundant number, since it is smaller than the sum of its proper divisors (17731786464).

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

6073141536 is an equidigital number, since it uses as much as digits as its factorization.

6073141536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6073141536 is about 77930.3633765428. The cubic root of 6073141536 is about 1824.4745129715.

The spelling of 6073141536 in words is "six billion, seventy-three million, one hundred forty-one thousand, five hundred thirty-six".