999529440768 has 480 divisors, whose sum is σ = 3124171290240. Its totient is φ = 306600837120.

The previous prime is 999529440743. The next prime is 999529440827. The reversal of 999529440768 is 867044925999.

999529440768 is a `hidden beast` number, since 9 + 9 + 95 + 29 + 440 + 76 + 8 = 666.

It is a super-3 number, since 3×999529440768³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 999529440696 and 999529440705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102016571 + ... + 1102017477.

It is an arithmetic number, because the mean of its divisors is an integer number (6508690188).

Almost surely, 2^999529440768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999529440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562085645120).

999529440768 is an abundant number, since it is smaller than the sum of its proper divisors (2124641849472).

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

999529440768 is a wasteful number, since it uses less digits than its factorization.

999529440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 999529440768 in words is "nine hundred ninety-nine billion, five hundred twenty-nine million, four hundred forty thousand, seven hundred sixty-eight".