76242141600 has 288 divisors, whose sum is σ = 252953809920. Its totient is φ = 19942640640.

The previous prime is 76242141587. The next prime is 76242141607. The reversal of 76242141600 is 614124267.

It is not an unprimeable number, because it can be changed into a prime (76242141607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30903567 + ... + 30906033.

It is an arithmetic number, because the mean of its divisors is an integer number (878311840).

Almost surely, 2^76242141600 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 76242141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126476904960).

76242141600 is an abundant number, since it is smaller than the sum of its proper divisors (176711668320).

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

76242141600 is a wasteful number, since it uses less digits than its factorization.

76242141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 76242141600 its reverse (614124267), we get a palindrome (76856265867).

The spelling of 76242141600 in words is "seventy-six billion, two hundred forty-two million, one hundred forty-one thousand, six hundred".