4196763648 has 288 divisors, whose sum is σ = 15117036480. Its totient is φ = 1089699840.

The previous prime is 4196763647. The next prime is 4196763661. The reversal of 4196763648 is 8463676914.

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

It is a super-2 number, since 2×4196763648² = 35225650234348535808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4196763594 and 4196763603.

It is not an unprimeable number, because it can be changed into a prime (4196763647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417786 + ... + 1420742.

It is an arithmetic number, because the mean of its divisors is an integer number (52489710).

Almost surely, 2^4196763648 is an apocalyptic number.

4196763648 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 4196763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558518240).

4196763648 is an abundant number, since it is smaller than the sum of its proper divisors (10920272832).

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

4196763648 is a wasteful number, since it uses less digits than its factorization.

4196763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2980 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4196763648 is about 64782.4331744339. The cubic root of 4196763648 is about 1613.0141250094.

It can be divided in two parts, 419676 and 3648, that added together give a palindrome (423324).

The spelling of 4196763648 in words is "four billion, one hundred ninety-six million, seven hundred sixty-three thousand, six hundred forty-eight".