7649989920 has 288 divisors, whose sum is σ = 27738547200. Its totient is φ = 1989826560.

The previous prime is 7649989913. The next prime is 7649989967. The reversal of 7649989920 is 299899467.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7649989920² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1591681 + ... + 1596479.

It is an arithmetic number, because the mean of its divisors is an integer number (96314400).

Almost surely, 2^7649989920 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 7649989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869273600).

7649989920 is an abundant number, since it is smaller than the sum of its proper divisors (20088557280).

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

7649989920 is a wasteful number, since it uses less digits than its factorization.

7649989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 7649989920 is about 87464.2207991359. The cubic root of 7649989920 is about 1970.3964708315.

The spelling of 7649989920 in words is "seven billion, six hundred forty-nine million, nine hundred eighty-nine thousand, nine hundred twenty".