7809972480000 has 480 divisors, whose sum is σ = 28909635955200. Its totient is φ = 2082650112000.

The previous prime is 7809972479917. The next prime is 7809972480001. The reversal of 7809972480000 is 842799087.

7809972480000 is a `hidden beast` number, since 7 + 8 + 0 + 99 + 72 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (7809972480001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34447009 + ... + 34672991.

It is an arithmetic number, because the mean of its divisors is an integer number (60228408240).

Almost surely, 2^{7809972480000} 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 7809972480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454817977600).

7809972480000 is an abundant number, since it is smaller than the sum of its proper divisors (21099663475200).

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

7809972480000 is an equidigital number, since it uses as much as digits as its factorization.

7809972480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226034 (or 225993 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 7809972480000 in words is "seven trillion, eight hundred nine billion, nine hundred seventy-two million, four hundred eighty thousand".