7746013713228 has 192 divisors, whose sum is σ = 22462971632640. Its totient is φ = 2026953105408.

The previous prime is 7746013713197. The next prime is 7746013713259. The reversal of 7746013713228 is 8223173106477.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7746013713197) and next prime (7746013713259).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16283200 + ... + 16752152.

It is an arithmetic number, because the mean of its divisors is an integer number (116994643920).

Almost surely, 2^{7746013713228} 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 7746013713228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11231485816320).

7746013713228 is an abundant number, since it is smaller than the sum of its proper divisors (14716957919412).

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

7746013713228 is a wasteful number, since it uses less digits than its factorization.

7746013713228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469296 (or 469294 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 7746013713228 in words is "seven trillion, seven hundred forty-six billion, thirteen million, seven hundred thirteen thousand, two hundred twenty-eight".