990952784640 has 1728 divisors, whose sum is σ = 4471524255744. Its totient is φ = 196899766272.

The previous prime is 990952784581. The next prime is 990952784681. The reversal of 990952784640 is 46487259099.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1760128999 + ... + 1760129561.

It is an arithmetic number, because the mean of its divisors is an integer number (2587687648).

Almost surely, 2^990952784640 is an apocalyptic number.

990952784640 is a gapful number since it is divisible by the number (90) 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 990952784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235762127872).

990952784640 is an abundant number, since it is smaller than the sum of its proper divisors (3480571471104).

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

990952784640 is a wasteful number, since it uses less digits than its factorization.

990952784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 990952784640 in words is "nine hundred ninety billion, nine hundred fifty-two million, seven hundred eighty-four thousand, six hundred forty".