10147418767360 has 768 divisors, whose sum is σ = 29954976871680. Its totient is φ = 3226384465920.

The previous prime is 10147418767331. The next prime is 10147418767361. The reversal of 10147418767360 is 6376781474101.

It is not an unprimeable number, because it can be changed into a prime (10147418767361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36111810420 + ... + 36111810700.

It is an arithmetic number, because the mean of its divisors is an integer number (39003876135).

Almost surely, 2^{10147418767360} is an apocalyptic number.

10147418767360 is a gapful number since it is divisible by the number (10) 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 10147418767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977488435840).

10147418767360 is an abundant number, since it is smaller than the sum of its proper divisors (19807558104320).

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

10147418767360 is an frugal number, since it uses more digits than its factorization.

10147418767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 10147418767360 in words is "ten trillion, one hundred forty-seven billion, four hundred eighteen million, seven hundred sixty-seven thousand, three hundred sixty".