4261648776 has 256 divisors, whose sum is σ = 14273280000. Its totient is φ = 1048239360.

The previous prime is 4261648747. The next prime is 4261648777. The reversal of 4261648776 is 6778461624.

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

It is not an unprimeable number, because it can be changed into a prime (4261648777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1719250 + ... + 1721726.

It is an arithmetic number, because the mean of its divisors is an integer number (55755000).

Almost surely, 2^4261648776 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 4261648776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136640000).

4261648776 is an abundant number, since it is smaller than the sum of its proper divisors (10011631224).

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

4261648776 is a wasteful number, since it uses less digits than its factorization.

4261648776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2519 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 4261648776 is about 65281.3049501923. The cubic root of 4261648776 is about 1621.2844530505.

The spelling of 4261648776 in words is "four billion, two hundred sixty-one million, six hundred forty-eight thousand, seven hundred seventy-six".