8034198036480 has 2016 divisors, whose sum is σ = 36319182786432. Its totient is φ = 1667691970560.

The previous prime is 8034198036439. The next prime is 8034198036499. The reversal of 8034198036480 is 846308914308.

8034198036480 is a `hidden beast` number, since 8 + 0 + 3 + 41 + 98 + 0 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8430427684 + ... + 8430428636.

It is an arithmetic number, because the mean of its divisors is an integer number (18015467652).

Almost surely, 2^{8034198036480} is an apocalyptic number.

8034198036480 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 8034198036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159591393216).

8034198036480 is an abundant number, since it is smaller than the sum of its proper divisors (28284984749952).

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

8034198036480 is an equidigital number, since it uses as much as digits as its factorization.

8034198036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 8034198036480 in words is "eight trillion, thirty-four billion, one hundred ninety-eight million, thirty-six thousand, four hundred eighty".