7970048352 has 288 divisors, whose sum is σ = 27395020800. Its totient is φ = 2247388416.

The previous prime is 7970048311. The next prime is 7970048353. The reversal of 7970048352 is 2538400797.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 7970048298 and 7970048307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7970048353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3343353 + ... + 3345735.

It is an arithmetic number, because the mean of its divisors is an integer number (95121600).

Almost surely, 2^7970048352 is an apocalyptic number.

7970048352 is a gapful number since it is divisible by the number (72) 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 7970048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697510400).

7970048352 is an abundant number, since it is smaller than the sum of its proper divisors (19424972448).

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

7970048352 is a wasteful number, since it uses less digits than its factorization.

7970048352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7970048352 is about 89275.1272863836. The cubic root of 7970048352 is about 1997.5009079033.

The spelling of 7970048352 in words is "seven billion, nine hundred seventy million, forty-eight thousand, three hundred fifty-two".