98763769104 has 320 divisors, whose sum is σ = 343044710400. Its totient is φ = 23646504960.

The previous prime is 98763769079. The next prime is 98763769127. The reversal of 98763769104 is 40196736789.

It is a super-3 number, since 3×98763769104³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63758922 + ... + 63760470.

It is an arithmetic number, because the mean of its divisors is an integer number (1072014720).

Almost surely, 2^98763769104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98763769104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171522355200).

98763769104 is an abundant number, since it is smaller than the sum of its proper divisors (244280941296).

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

98763769104 is a wasteful number, since it uses less digits than its factorization.

98763769104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 98763769104 in words is "ninety-eight billion, seven hundred sixty-three million, seven hundred sixty-nine thousand, one hundred four".