76146227124000 has 768 divisors, whose sum is σ = 278273105510400. Its totient is φ = 18044164608000.

The previous prime is 76146227123977. The next prime is 76146227124053. The reversal of 76146227124000 is 42172264167.

It is a super-2 number, since 2×76146227124000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5205148686 + ... + 5205163314.

It is an arithmetic number, because the mean of its divisors is an integer number (362334772800).

Almost surely, 2^{76146227124000} 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 76146227124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139136552755200).

76146227124000 is an abundant number, since it is smaller than the sum of its proper divisors (202126878386400).

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

76146227124000 is a wasteful number, since it uses less digits than its factorization.

76146227124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15554 (or 15536 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

Adding to 76146227124000 its reverse (42172264167), we get a palindrome (76188399388167).

The spelling of 76146227124000 in words is "seventy-six trillion, one hundred forty-six billion, two hundred twenty-seven million, one hundred twenty-four thousand".