7850644606728 has 320 divisors, whose sum is σ = 27753172948800. Its totient is φ = 2039126987520.

The previous prime is 7850644606699. The next prime is 7850644606757. The reversal of 7850644606728 is 8276064460587.

7850644606728 is a `hidden beast` number, since 7 + 8 + 50 + 64 + 460 + 67 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7850644606699) and next prime (7850644606757).

It is a super-2 number, since 2×7850644606728² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5016700 + ... + 6392852.

It is an arithmetic number, because the mean of its divisors is an integer number (86728665465).

Almost surely, 2^{7850644606728} 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 7850644606728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876586474400).

7850644606728 is an abundant number, since it is smaller than the sum of its proper divisors (19902528342072).

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

7850644606728 is a wasteful number, since it uses less digits than its factorization.

7850644606728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376207 (or 1376176 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 7850644606728 in words is "seven trillion, eight hundred fifty billion, six hundred forty-four million, six hundred six thousand, seven hundred twenty-eight".