8434520617000 has 128 divisors (see below), whose sum is σ = 19790432438400. Its totient is φ = 3364649088000.

The previous prime is 8434520616989. The next prime is 8434520617057. The reversal of 8434520617000 is 7160254348.

It is a super-2 number, since 2×8434520617000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601041984 + ... + 601056016.

It is an arithmetic number, because the mean of its divisors is an integer number (154612753425).

Almost surely, 2^{8434520617000} 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 8434520617000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895216219200).

8434520617000 is an abundant number, since it is smaller than the sum of its proper divisors (11355911821400).

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

8434520617000 is a wasteful number, since it uses less digits than its factorization.

8434520617000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 8434520617000 in words is "eight trillion, four hundred thirty-four billion, five hundred twenty million, six hundred seventeen thousand".