7889616000 has 512 divisors, whose sum is σ = 33224256000. Its totient is φ = 1802649600.

The previous prime is 7889615999. The next prime is 7889616023. The reversal of 7889616000 is 6169887.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3022696 + ... + 3025304.

It is an arithmetic number, because the mean of its divisors is an integer number (64891125).

Almost surely, 2^7889616000 is an apocalyptic number.

7889616000 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 7889616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612128000).

7889616000 is an abundant number, since it is smaller than the sum of its proper divisors (25334640000).

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

7889616000 is a wasteful number, since it uses less digits than its factorization.

7889616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7889616000 is about 88823.5104012446. The cubic root of 7889616000 is about 1990.7586982731.

The spelling of 7889616000 in words is "seven billion, eight hundred eighty-nine million, six hundred sixteen thousand".