7949664000 has 360 divisors, whose sum is σ = 29592811248. Its totient is φ = 2119219200.

The previous prime is 7949663993. The next prime is 7949664007. The reversal of 7949664000 is 4669497.

It is an interprime number because it is at equal distance from previous prime (7949663993) and next prime (7949664007).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949664007) 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 39 ways as a sum of consecutive naturals, for example, 2590467 + ... + 2593533.

Almost surely, 2^7949664000 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 7949664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796405624).

7949664000 is an abundant number, since it is smaller than the sum of its proper divisors (21643147248).

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

7949664000 is an equidigital number, since it uses as much as digits as its factorization.

7949664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7949664000 is about 89160.8882862884. Note that the first 3 decimals coincide. The cubic root of 7949664000 is about 1995.7965048370.

The spelling of 7949664000 in words is "seven billion, nine hundred forty-nine million, six hundred sixty-four thousand".