7946820000 has 1080 divisors, whose sum is σ = 35438559156. Its totient is φ = 1677312000.

The previous prime is 7946819893. The next prime is 7946820001. The reversal of 7946820000 is 286497.

It can be written as a sum of positive squares in 10 ways, for example, as 3732624 + 7943087376 = 1932^2 + 89124^2 .

It is a super-2 number, since 2×7946820000² (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 not an unprimeable number, because it can be changed into a prime (7946820001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 149939974 + ... + 149940026.

Almost surely, 2^7946820000 is an apocalyptic number.

7946820000 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 7946820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719279578).

7946820000 is an abundant number, since it is smaller than the sum of its proper divisors (27491739156).

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

7946820000 is a wasteful number, since it uses less digits than its factorization.

7946820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7946820000 is about 89144.9381625227. The cubic root of 7946820000 is about 1995.5584770719.

The spelling of 7946820000 in words is "seven billion, nine hundred forty-six million, eight hundred twenty thousand".