7670983320 has 576 divisors, whose sum is σ = 34082324640. Its totient is φ = 1470873600.

The previous prime is 7670983283. The next prime is 7670983337. The reversal of 7670983320 is 233890767.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2521000 + ... + 2524040.

Almost surely, 2^7670983320 is an apocalyptic number.

7670983320 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 7670983320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041162320).

7670983320 is an abundant number, since it is smaller than the sum of its proper divisors (26411341320).

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

7670983320 is a wasteful number, since it uses less digits than its factorization.

7670983320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7670983320 is about 87584.1499359330. The cubic root of 7670983320 is about 1972.1972374779.

The spelling of 7670983320 in words is "seven billion, six hundred seventy million, nine hundred eighty-three thousand, three hundred twenty".