8299740129408 has 768 divisors, whose sum is σ = 31018394534400. Its totient is φ = 2070191996928.

The previous prime is 8299740129389. The next prime is 8299740129419. The reversal of 8299740129408 is 8049210479928.

8299740129408 is a `hidden beast` number, since 82 + 9 + 97 + 40 + 1 + 29 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214571766 + ... + 214610442.

It is an arithmetic number, because the mean of its divisors is an integer number (40388534550).

Almost surely, 2^{8299740129408} 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 8299740129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509197267200).

8299740129408 is an abundant number, since it is smaller than the sum of its proper divisors (22718654404992).

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

8299740129408 is a wasteful number, since it uses less digits than its factorization.

8299740129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38829 (or 38814 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 8299740129408 in words is "eight trillion, two hundred ninety-nine billion, seven hundred forty million, one hundred twenty-nine thousand, four hundred eight".