7663920000 has 320 divisors, whose sum is σ = 27760613760. Its totient is φ = 1857280000.

The previous prime is 7663919983. The next prime is 7663920023. The reversal of 7663920000 is 293667.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2638549 + ... + 2641451.

It is an arithmetic number, because the mean of its divisors is an integer number (86751918).

Almost surely, 2^7663920000 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 7663920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880306880).

7663920000 is an abundant number, since it is smaller than the sum of its proper divisors (20096693760).

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

7663920000 is a wasteful number, since it uses less digits than its factorization.

7663920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 7663920000 is about 87543.8176001024. The cubic root of 7663920000 is about 1971.5917289276.

The spelling of 7663920000 in words is "seven billion, six hundred sixty-three million, nine hundred twenty thousand".