999259582464 has 624 divisors, whose sum is σ = 3419259427584. Its totient is φ = 277187788800.

The previous prime is 999259582427. The next prime is 999259582501. The reversal of 999259582464 is 464285952999.

999259582464 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 595 + 8 + 24 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (999259582427) and next prime (999259582501).

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×999259582464² (a number of 25 digits) contains 22 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 = 999259582392 and 999259582401.

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, 690572589 + ... + 690574035.

It is an arithmetic number, because the mean of its divisors is an integer number (5479582416).

Almost surely, 2^999259582464 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 999259582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709629713792).

999259582464 is an abundant number, since it is smaller than the sum of its proper divisors (2419999845120).

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

999259582464 is a wasteful number, since it uses less digits than its factorization.

999259582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1607 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 999259582464 in words is "nine hundred ninety-nine billion, two hundred fifty-nine million, five hundred eighty-two thousand, four hundred sixty-four".