98430760340640 has 6912 divisors, whose sum is σ = 497102913699840. Its totient is φ = 18013525770240.

The previous prime is 98430760340603. The next prime is 98430760340641. The reversal of 98430760340640 is 4604306703489.

98430760340640 is a `hidden beast` number, since 98 + 43 + 0 + 76 + 0 + 3 + 406 + 40 = 666.

It is a super-2 number, since 2×98430760340640² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98430760340641) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 433615684207 + ... + 433615684433.

It is an arithmetic number, because the mean of its divisors is an integer number (71918824320).

Almost surely, 2^{98430760340640} is an apocalyptic number.

98430760340640 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 98430760340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248551456849920).

98430760340640 is an abundant number, since it is smaller than the sum of its proper divisors (398672153359200).

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

98430760340640 is a wasteful number, since it uses less digits than its factorization.

98430760340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 98430760340640 in words is "ninety-eight trillion, four hundred thirty billion, seven hundred sixty million, three hundred forty thousand, six hundred forty".