84797440000 has 675 divisors, whose sum is σ = 266940002637. Its totient is φ = 26836992000.

The previous prime is 84797439989. The next prime is 84797440001. The reversal of 84797440000 is 4479748.

It is a happy number.

The square root of 84797440000 is 291200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 83756990464 + 1040449536 = 289408^2 + 32256^2 .

It is not an unprimeable number, because it can be changed into a prime (84797440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6522879994 + ... + 6522880006.

Almost surely, 2^84797440000 is an apocalyptic number.

84797440000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84797440000 is the 291200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84797440000

84797440000 is an abundant number, since it is smaller than the sum of its proper divisors (182142562637).

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

84797440000 is an frugal number, since it uses more digits than its factorization.

84797440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 84797440000 in words is "eighty-four billion, seven hundred ninety-seven million, four hundred forty thousand".