499742680320 has 756 divisors, whose sum is σ = 1944028665180. Its totient is φ = 122974765056.

The previous prime is 499742680277. The next prime is 499742680321. The reversal of 499742680320 is 23086247994.

499742680320 is a `hidden beast` number, since 499 + 7 + 42 + 6 + 80 + 32 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39146996736 + 460595683584 = 197856^2 + 678672^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499742680321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 157695696 + ... + 157698864.

Almost surely, 2^499742680320 is an apocalyptic number.

499742680320 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 499742680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972014332590).

499742680320 is an abundant number, since it is smaller than the sum of its proper divisors (1444285984860).

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

499742680320 is an equidigital number, since it uses as much as digits as its factorization.

499742680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3192 counting only the distinct ones).

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

The spelling of 499742680320 in words is "four hundred ninety-nine billion, seven hundred forty-two million, six hundred eighty thousand, three hundred twenty".