99784166976 has 896 divisors, whose sum is σ = 347111116800. Its totient is φ = 28217548800.

The previous prime is 99784166971. The next prime is 99784166983. The reversal of 99784166976 is 67966148799.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99784166971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1635805986 + ... + 1635806046.

It is an arithmetic number, because the mean of its divisors is an integer number (387400800).

Almost surely, 2^99784166976 is an apocalyptic number.

99784166976 is a gapful number since it is divisible by the number (96) 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 99784166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173555558400).

99784166976 is an abundant number, since it is smaller than the sum of its proper divisors (247326949824).

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

99784166976 is a wasteful number, since it uses less digits than its factorization.

99784166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The spelling of 99784166976 in words is "ninety-nine billion, seven hundred eighty-four million, one hundred sixty-six thousand, nine hundred seventy-six".