4766293956 has 96 divisors (see below), whose sum is σ = 12036729600. Its totient is φ = 1463418880.

The previous prime is 4766293951. The next prime is 4766293957. The reversal of 4766293956 is 6593926674.

It is a junction number, because it is equal to n+sod(n) for n = 4766293896 and 4766293905.

It is not an unprimeable number, because it can be changed into a prime (4766293951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5130100 + ... + 5131028.

It is an arithmetic number, because the mean of its divisors is an integer number (125382600).

Almost surely, 2^4766293956 is an apocalyptic number.

4766293956 is a gapful number since it is divisible by the number (46) 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 4766293956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018364800).

4766293956 is an abundant number, since it is smaller than the sum of its proper divisors (7270435644).

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

4766293956 is a wasteful number, since it uses less digits than its factorization.

4766293956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1627 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 57.

The square root of 4766293956 is about 69038.3513418448. The cubic root of 4766293956 is about 1682.9076108096.

The spelling of 4766293956 in words is "four billion, seven hundred sixty-six million, two hundred ninety-three thousand, nine hundred fifty-six".