295335240672 has 288 divisors, whose sum is σ = 841324216320. Its totient is φ = 90675486720.

The previous prime is 295335240661. The next prime is 295335240679. The reversal of 295335240672 is 276042533592.

It is a happy number.

It is a super-3 number, since 3×295335240672³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (295335240679) 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, 278355022 + ... + 278356082.

It is an arithmetic number, because the mean of its divisors is an integer number (2921264640).

Almost surely, 2^295335240672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295335240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420662108160).

295335240672 is an abundant number, since it is smaller than the sum of its proper divisors (545988975648).

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

295335240672 is a wasteful number, since it uses less digits than its factorization.

295335240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 295335240672 in words is "two hundred ninety-five billion, three hundred thirty-five million, two hundred forty thousand, six hundred seventy-two".