7945438770000 has 800 divisors, whose sum is σ = 28947213926400. Its totient is φ = 2085725376000.

The previous prime is 7945438769977. The next prime is 7945438770001. The reversal of 7945438770000 is 778345497.

7945438770000 is a `hidden beast` number, since 7 + 94 + 543 + 8 + 7 + 7 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×7945438770000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7945438770001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4766309167 + ... + 4766310833.

It is an arithmetic number, because the mean of its divisors is an integer number (36184017408).

Almost surely, 2^{7945438770000} 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 7945438770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473606963200).

7945438770000 is an abundant number, since it is smaller than the sum of its proper divisors (21001775156400).

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

7945438770000 is a wasteful number, since it uses less digits than its factorization.

7945438770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 7945438770000 in words is "seven trillion, nine hundred forty-five billion, four hundred thirty-eight million, seven hundred seventy thousand".