295770968064 has 624 divisors, whose sum is σ = 1056890627520. Its totient is φ = 78352220160.

The previous prime is 295770968041. The next prime is 295770968111. The reversal of 295770968064 is 460869077592.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 295770967992 and 295770968010.

It is a congruent number.

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, 100158012 + ... + 100160964.

It is an arithmetic number, because the mean of its divisors is an integer number (1693734980).

Almost surely, 2^295770968064 is an apocalyptic number.

295770968064 is a gapful number since it is divisible by the number (24) 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 295770968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528445313760).

295770968064 is an abundant number, since it is smaller than the sum of its proper divisors (761119659456).

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

295770968064 is a wasteful number, since it uses less digits than its factorization.

295770968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 295770968064 in words is "two hundred ninety-five billion, seven hundred seventy million, nine hundred sixty-eight thousand, sixty-four".