499971767760 has 800 divisors, whose sum is σ = 1843536318624. Its totient is φ = 125411328000.

The previous prime is 499971767749. The next prime is 499971767791. The reversal of 499971767760 is 67767179994.

499971767760 is a `hidden beast` number, since 499 + 9 + 7 + 1 + 7 + 6 + 77 + 60 = 666.

499971767760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 241509342096 + 258462425664 = 491436^2 + 508392^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1779258820 + ... + 1779259100.

Almost surely, 2^499971767760 is an apocalyptic number.

499971767760 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 499971767760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921768159312).

499971767760 is an abundant number, since it is smaller than the sum of its proper divisors (1343564550864).

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

499971767760 is a wasteful number, since it uses less digits than its factorization.

499971767760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 252047376, while the sum is 72.

The spelling of 499971767760 in words is "four hundred ninety-nine billion, nine hundred seventy-one million, seven hundred sixty-seven thousand, seven hundred sixty".