7847200492560 has 1280 divisors, whose sum is σ = 34504991539200. Its totient is φ = 1609893273600.

The previous prime is 7847200492519. The next prime is 7847200492577. The reversal of 7847200492560 is 652940027487.

7847200492560 is a `hidden beast` number, since 7 + 8 + 4 + 72 + 0 + 0 + 4 + 9 + 2 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7847200492497 and 7847200492506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 181908754 + ... + 181951886.

It is an arithmetic number, because the mean of its divisors is an integer number (26957024640).

Almost surely, 2^{7847200492560} 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 7847200492560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252495769600).

7847200492560 is an abundant number, since it is smaller than the sum of its proper divisors (26657791046640).

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

7847200492560 is a wasteful number, since it uses less digits than its factorization.

7847200492560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43229 (or 43217 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7847200492560 in words is "seven trillion, eight hundred forty-seven billion, two hundred million, four hundred ninety-two thousand, five hundred sixty".