98826674400 has 720 divisors, whose sum is σ = 378448652736. Its totient is φ = 25067335680.

The previous prime is 98826674389. The next prime is 98826674407. The reversal of 98826674400 is 447662889.

98826674400 is a `hidden beast` number, since 98 + 82 + 6 + 6 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98826674407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112686762 + ... + 112687638.

Almost surely, 2^98826674400 is an apocalyptic number.

98826674400 is a gapful number since it is divisible by the number (90) 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 98826674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189224326368).

98826674400 is an abundant number, since it is smaller than the sum of its proper divisors (279621978336).

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

98826674400 is a wasteful number, since it uses less digits than its factorization.

98826674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 98826674400 in words is "ninety-eight billion, eight hundred twenty-six million, six hundred seventy-four thousand, four hundred".