4295961648 has 240 divisors, whose sum is σ = 13704837120. Its totient is φ = 1244390400.

The previous prime is 4295961629. The next prime is 4295961697. The reversal of 4295961648 is 8461695924.

4295961648 is a `hidden beast` number, since 4 + 2 + 9 + 596 + 1 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4295961594 and 4295961603.

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, 4369765 + ... + 4370747.

It is an arithmetic number, because the mean of its divisors is an integer number (57103488).

Almost surely, 2^4295961648 is an apocalyptic number.

4295961648 is a gapful number since it is divisible by the number (48) 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 4295961648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852418560).

4295961648 is an abundant number, since it is smaller than the sum of its proper divisors (9408875472).

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

4295961648 is a wasteful number, since it uses less digits than its factorization.

4295961648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1119 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 4295961648 is about 65543.5858646748. The cubic root of 4295961648 is about 1625.6241103120.

The spelling of 4295961648 in words is "four billion, two hundred ninety-five million, nine hundred sixty-one thousand, six hundred forty-eight".