7949966000 has 80 divisors (see below), whose sum is σ = 19361989920. Its totient is φ = 3156998400.

The previous prime is 7949965979. The next prime is 7949966021. The reversal of 7949966000 is 6699497.

It is an interprime number because it is at equal distance from previous prime (7949965979) and next prime (7949966021).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 7949966000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263702 + ... + 292298.

It is an arithmetic number, because the mean of its divisors is an integer number (242024874).

Almost surely, 2^7949966000 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 7949966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680994960).

7949966000 is an abundant number, since it is smaller than the sum of its proper divisors (11412023920).

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

7949966000 is a wasteful number, since it uses less digits than its factorization.

7949966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28759 (or 28743 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 50.

The square root of 7949966000 is about 89162.5818378988. The cubic root of 7949966000 is about 1995.8217773060.

The spelling of 7949966000 in words is "seven billion, nine hundred forty-nine million, nine hundred sixty-six thousand".