989674790976 has 315 divisors, whose sum is σ = 3015954481287. Its totient is φ = 320890429440.

The previous prime is 989674790971. The next prime is 989674790987. The reversal of 989674790976 is 679097476989.

It is a happy number.

The square root of 989674790976 is 994824.

It is a perfect power (a square), and thus also a powerful number.

989674790976 is a `hidden beast` number, since 9 + 89 + 67 + 479 + 0 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 512713281600 + 476961509376 = 716040^2 + 690624^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 989674790895 and 989674790904.

It is not an unprimeable number, because it can be changed into a prime (989674790971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2936720280 + ... + 2936720616.

Almost surely, 2^989674790976 is an apocalyptic number.

989674790976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

989674790976 is the 994824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989674790976

989674790976 is an abundant number, since it is smaller than the sum of its proper divisors (2026279690311).

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

989674790976 is an frugal number, since it uses more digits than its factorization.

989674790976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2592487296, while the sum is 81.

Multiplying 989674790976 by its sum of digits (81), we get a square (80163658069056 = 8953416²).

989674790976 divided by its sum of digits (81) gives a square (12218207296 = 110536²).

The spelling of 989674790976 in words is "nine hundred eighty-nine billion, six hundred seventy-four million, seven hundred ninety thousand, nine hundred seventy-six".