4767413760 has 400 divisors, whose sum is σ = 17343483696. Its totient is φ = 1251459072.

The previous prime is 4767413719. The next prime is 4767413767. The reversal of 4767413760 is 673147674.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4767413767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17210742 + ... + 17211018.

Almost surely, 2^4767413760 is an apocalyptic number.

4767413760 is a gapful number since it is divisible by the number (40) 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 4767413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671741848).

4767413760 is an abundant number, since it is smaller than the sum of its proper divisors (12576069936).

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

4767413760 is an equidigital number, since it uses as much as digits as its factorization.

4767413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 4767413760 is about 69046.4608796135. The cubic root of 4767413760 is about 1683.0393958769.

The spelling of 4767413760 in words is "four billion, seven hundred sixty-seven million, four hundred thirteen thousand, seven hundred sixty".