7821066240 has 608 divisors, whose sum is σ = 31708877760. Its totient is φ = 1811939328.

The previous prime is 7821066203. The next prime is 7821066247. The reversal of 7821066240 is 426601287.

7821066240 is a `hidden beast` number, since 7 + 8 + 21 + 0 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×7821066240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7821066195 and 7821066204.

It is not an unprimeable number, because it can be changed into a prime (7821066247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460062712 + ... + 460062728.

Almost surely, 2^7821066240 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 7821066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854438880).

7821066240 is an abundant number, since it is smaller than the sum of its proper divisors (23887811520).

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

7821066240 is an equidigital number, since it uses as much as digits as its factorization.

7821066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7821066240 is about 88436.7923434585. The cubic root of 7821066240 is about 1984.9762798359.

The spelling of 7821066240 in words is "seven billion, eight hundred twenty-one million, sixty-six thousand, two hundred forty".