6095147040 has 288 divisors, whose sum is σ = 21275654400. Its totient is φ = 1588654080.

The previous prime is 6095147033. The next prime is 6095147059. The reversal of 6095147040 is 407415906.

6095147040 is a `hidden beast` number, since 60 + 95 + 1 + 470 + 40 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6095146986 and 6095147004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14902356 + ... + 14902764.

It is an arithmetic number, because the mean of its divisors is an integer number (73873800).

Almost surely, 2^6095147040 is an apocalyptic number.

6095147040 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 6095147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637827200).

6095147040 is an abundant number, since it is smaller than the sum of its proper divisors (15180507360).

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

6095147040 is a wasteful number, since it uses less digits than its factorization.

6095147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6095147040 is about 78071.4226846162. The cubic root of 6095147040 is about 1826.6754654119.

The spelling of 6095147040 in words is "six billion, ninety-five million, one hundred forty-seven thousand, forty".