8349578496000 has 3840 divisors, whose sum is σ = 38646136488960. Its totient is φ = 1751777280000.

The previous prime is 8349578495971. The next prime is 8349578496011. The reversal of 8349578496000 is 6948759438.

8349578496000 is a `hidden beast` number, since 8 + 3 + 495 + 7 + 84 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×8349578496000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 136878335970 + ... + 136878336030.

It is an arithmetic number, because the mean of its divisors is an integer number (10064098044).

Almost surely, 2^{8349578496000} is an apocalyptic number.

8349578496000 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 8349578496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323068244480).

8349578496000 is an abundant number, since it is smaller than the sum of its proper divisors (30296557992960).

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

8349578496000 is a wasteful number, since it uses less digits than its factorization.

8349578496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 8349578496000 in words is "eight trillion, three hundred forty-nine billion, five hundred seventy-eight million, four hundred ninety-six thousand".