8149535643360 has 384 divisors, whose sum is σ = 26906707795968. Its totient is φ = 2070835200000.

The previous prime is 8149535643349. The next prime is 8149535643373. The reversal of 8149535643360 is 633465359418.

It is a super-2 number, since 2×8149535643360² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8149535643360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905398860 + ... + 905407860.

It is an arithmetic number, because the mean of its divisors is an integer number (70069551552).

Almost surely, 2^{8149535643360} is an apocalyptic number.

8149535643360 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 8149535643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453353897984).

8149535643360 is an abundant number, since it is smaller than the sum of its proper divisors (18757172152608).

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

8149535643360 is a wasteful number, since it uses less digits than its factorization.

8149535643360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 57.

The spelling of 8149535643360 in words is "eight trillion, one hundred forty-nine billion, five hundred thirty-five million, six hundred forty-three thousand, three hundred sixty".