7908920248320 has 1440 divisors, whose sum is σ = 35515277998200. Its totient is φ = 1668583784448.

The previous prime is 7908920248309. The next prime is 7908920248343. The reversal of 7908920248320 is 238420298097.

It is a happy number.

7908920248320 is a `hidden beast` number, since 79 + 0 + 8 + 9 + 2 + 0 + 248 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2066141758464 + 5842778489856 = 1437408^2 + 2417184^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 528345796 + ... + 528360764.

Almost surely, 2^{7908920248320} is an apocalyptic number.

7908920248320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7908920248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757638999100).

7908920248320 is an abundant number, since it is smaller than the sum of its proper divisors (27606357749880).

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

7908920248320 is a wasteful number, since it uses less digits than its factorization.

7908920248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15035 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7908920248320 in words is "seven trillion, nine hundred eight billion, nine hundred twenty million, two hundred forty-eight thousand, three hundred twenty".