7606400229288 has 48 divisors (see below), whose sum is σ = 23543619758880. Its totient is φ = 2173257208224.

The previous prime is 7606400229229. The next prime is 7606400229289. The reversal of 7606400229288 is 8829220046067.

7606400229288 is a `hidden beast` number, since 7 + 6 + 0 + 6 + 400 + 229 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×7606400229288² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7606400229289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7546031470 + ... + 7546032477.

It is an arithmetic number, because the mean of its divisors is an integer number (490492078310).

Almost surely, 2^{7606400229288} is an apocalyptic number.

It is an amenable number.

7606400229288 is an abundant number, since it is smaller than the sum of its proper divisors (15937219529592).

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

7606400229288 is a wasteful number, since it uses less digits than its factorization.

7606400229288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15092063966 (or 15092063959 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 7606400229288 in words is "seven trillion, six hundred six billion, four hundred million, two hundred twenty-nine thousand, two hundred eighty-eight".