7945953780096 has 224 divisors, whose sum is σ = 25130003517000. Its totient is φ = 2492847747072.

The previous prime is 7945953780077. The next prime is 7945953780179. The reversal of 7945953780096 is 6900873595497.

7945953780096 is a `hidden beast` number, since 7 + 9 + 4 + 5 + 9 + 537 + 80 + 0 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 918246 + ... + 4090853.

Almost surely, 2^{7945953780096} 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 7945953780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565001758500).

7945953780096 is an abundant number, since it is smaller than the sum of its proper divisors (17184049736904).

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

7945953780096 is an equidigital number, since it uses as much as digits as its factorization.

7945953780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009148 (or 5009121 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 7945953780096 in words is "seven trillion, nine hundred forty-five billion, nine hundred fifty-three million, seven hundred eighty thousand, ninety-six".