76360141000 has 512 divisors, whose sum is σ = 225191715840. Its totient is φ = 23808000000.

The previous prime is 76360140971. The next prime is 76360141003. The reversal of 76360141000 is 14106367.

It is a super-2 number, since 2×76360141000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76360141000.

It is not an unprimeable number, because it can be changed into a prime (76360141003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245530845 + ... + 245531155.

It is an arithmetic number, because the mean of its divisors is an integer number (439827570).

Almost surely, 2^76360141000 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 76360141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112595857920).

76360141000 is an abundant number, since it is smaller than the sum of its proper divisors (148831574840).

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

76360141000 is a wasteful number, since it uses less digits than its factorization.

76360141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 76360141000 its reverse (14106367), we get a palindrome (76374247367).

The spelling of 76360141000 in words is "seventy-six billion, three hundred sixty million, one hundred forty-one thousand".