4766984298240 has 576 divisors, whose sum is σ = 16431917064192. Its totient is φ = 1174339584000.

The previous prime is 4766984298229. The next prime is 4766984298247. The reversal of 4766984298240 is 428924896674.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766984298247) 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, 1645488472 + ... + 1645491368.

It is an arithmetic number, because the mean of its divisors is an integer number (28527633792).

Almost surely, 2^{4766984298240} is an apocalyptic number.

4766984298240 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 4766984298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215958532096).

4766984298240 is an abundant number, since it is smaller than the sum of its proper divisors (11664932765952).

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

4766984298240 is a wasteful number, since it uses less digits than its factorization.

4766984298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 4766984298240 in words is "four trillion, seven hundred sixty-six billion, nine hundred eighty-four million, two hundred ninety-eight thousand, two hundred forty".