99782290672 has 120 divisors (see below), whose sum is σ = 205717645728. Its totient is φ = 46875840000.

The previous prime is 99782290651. The next prime is 99782290717. The reversal of 99782290672 is 27609228799.

It is a super-3 number, since 3×99782290672³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99782290672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129084078 + ... + 129084850.

Almost surely, 2^99782290672 is an apocalyptic number.

99782290672 is a gapful number since it is divisible by the number (92) 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 99782290672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102858822864).

99782290672 is an abundant number, since it is smaller than the sum of its proper divisors (105935355056).

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

99782290672 is a wasteful number, since it uses less digits than its factorization.

99782290672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 99782290672 in words is "ninety-nine billion, seven hundred eighty-two million, two hundred ninety thousand, six hundred seventy-two".