990688495680 has 168 divisors, whose sum is σ = 3669675441432. Its totient is φ = 243861774336.

The previous prime is 990688495673. The next prime is 990688495691. The reversal of 990688495680 is 86594886099.

It can be written as a sum of positive squares in 4 ways, for example, as 30351214656 + 960337281024 = 174216^2 + 979968^2 .

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 = 990688495599 and 990688495608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13192909 + ... + 13267788.

It is an arithmetic number, because the mean of its divisors is an integer number (21843306199).

Almost surely, 2^990688495680 is an apocalyptic number.

990688495680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

990688495680 is an abundant number, since it is smaller than the sum of its proper divisors (2678986945752).

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

990688495680 is a wasteful number, since it uses less digits than its factorization.

990688495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26460733 (or 26460720 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 990688495680 in words is "nine hundred ninety billion, six hundred eighty-eight million, four hundred ninety-five thousand, six hundred eighty".