83798346942720 has 720 divisors, whose sum is σ = 307167967326528. Its totient is φ = 21806780497920.

The previous prime is 83798346942719. The next prime is 83798346942721. The reversal of 83798346942720 is 2724964389738.

83798346942720 is a `hidden beast` number, since 8 + 3 + 7 + 9 + 8 + 346 + 9 + 4 + 272 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83798346942719) and next prime (83798346942721).

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 (72).

It is not an unprimeable number, because it can be changed into a prime (83798346942721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 743225550 + ... + 743338290.

Almost surely, 2^{83798346942720} is an apocalyptic number.

83798346942720 is a gapful number since it is divisible by the number (80) 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 83798346942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153583983663264).

83798346942720 is an abundant number, since it is smaller than the sum of its proper divisors (223369620383808).

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

83798346942720 is a wasteful number, since it uses less digits than its factorization.

83798346942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112948 (or 112925 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 83798346942720 in words is "eighty-three trillion, seven hundred ninety-eight billion, three hundred forty-six million, nine hundred forty-two thousand, seven hundred twenty".