7947970560000 has 2400 divisors, whose sum is σ = 33165970992000. Its totient is φ = 1868562432000.

The previous prime is 7947970559999. The next prime is 7947970560053. The reversal of 7947970560000 is 650797497.

It is a happy number.

7947970560000 is a `hidden beast` number, since 7 + 9 + 4 + 7 + 9 + 70 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89303039956 + ... + 89303040044.

It is an arithmetic number, because the mean of its divisors is an integer number (13819154580).

Almost surely, 2^{7947970560000} 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 7947970560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582985496000).

7947970560000 is an abundant number, since it is smaller than the sum of its proper divisors (25218000432000).

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

7947970560000 is an equidigital number, since it uses as much as digits as its factorization.

7947970560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 7947970560000 in words is "seven trillion, nine hundred forty-seven billion, nine hundred seventy million, five hundred sixty thousand".